8007326764920 has 256 divisors, whose sum is σ = 30506018688000. Its totient is φ = 1830131117568.

The previous prime is 8007326764909. The next prime is 8007326764937. The reversal of 8007326764920 is 294676237008.

8007326764920 is a `hidden beast` number, since 80 + 0 + 7 + 3 + 2 + 6 + 76 + 492 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199102734 + ... + 199142946.

It is an arithmetic number, because the mean of its divisors is an integer number (119164135500).

Almost surely, 2^{8007326764920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8007326764920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15253009344000).

8007326764920 is an abundant number, since it is smaller than the sum of its proper divisors (22498691923080).

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

8007326764920 is a wasteful number, since it uses less digits than its factorization.

8007326764920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66579 (or 66569 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 8007326764920 in words is "eight trillion, seven billion, three hundred twenty-six million, seven hundred sixty-four thousand, nine hundred twenty".