2626436144640 has 960 divisors, whose sum is σ = 10722058744320. Its totient is φ = 536725094400.

The previous prime is 2626436144639. The next prime is 2626436144641. The reversal of 2626436144640 is 464416346262.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2626436144639) and next prime (2626436144641).

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2626436144640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2626436144641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 396799251 + ... + 396805869.

It is an arithmetic number, because the mean of its divisors is an integer number (11168811192).

Almost surely, 2^{2626436144640} is an apocalyptic number.

2626436144640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2626436144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361029372160).

2626436144640 is an abundant number, since it is smaller than the sum of its proper divisors (8095622599680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2626436144640 is a wasteful number, since it uses less digits than its factorization.

2626436144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6735 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 48.

The spelling of 2626436144640 in words is "two trillion, six hundred twenty-six billion, four hundred thirty-six million, one hundred forty-four thousand, six hundred forty".