1826307440640 has 960 divisors, whose sum is σ = 6815301292800. Its totient is φ = 468839301120.

The previous prime is 1826307440627. The next prime is 1826307440717. The reversal of 1826307440640 is 460447036281.

1826307440640 is a `hidden beast` number, since 1 + 8 + 2 + 630 + 7 + 4 + 4 + 0 + 6 + 4 + 0 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29939466210 + ... + 29939466270.

It is an arithmetic number, because the mean of its divisors is an integer number (7099272180).

Almost surely, 2^{1826307440640} is an apocalyptic number.

1826307440640 is a gapful number since it is divisible by the number (10) 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 1826307440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407650646400).

1826307440640 is an abundant number, since it is smaller than the sum of its proper divisors (4988993852160).

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

1826307440640 is an frugal number, since it uses more digits than its factorization.

1826307440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 1826307440640 in words is "one trillion, eight hundred twenty-six billion, three hundred seven million, four hundred forty thousand, six hundred forty".