2625606414720 has 768 divisors, whose sum is σ = 10340671610880. Its totient is φ = 609975336960.

The previous prime is 2625606414713. The next prime is 2625606414733. The reversal of 2625606414720 is 274146065262.

2625606414720 is a `hidden beast` number, since 2 + 6 + 2 + 5 + 606 + 4 + 14 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 69798157 + ... + 69835763.

It is an arithmetic number, because the mean of its divisors is an integer number (13464416160).

Almost surely, 2^{2625606414720} is an apocalyptic number.

2625606414720 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 2625606414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170335805440).

2625606414720 is an abundant number, since it is smaller than the sum of its proper divisors (7715065196160).

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

2625606414720 is a wasteful number, since it uses less digits than its factorization.

2625606414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37703 (or 37688 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2625606414720 in words is "two trillion, six hundred twenty-five billion, six hundred six million, four hundred fourteen thousand, seven hundred twenty".