73325790864 has 320 divisors, whose sum is σ = 218865991680. Its totient is φ = 23492851200.

The previous prime is 73325790841. The next prime is 73325790929. The reversal of 73325790864 is 46809752337.

73325790864 is a `hidden beast` number, since 7 + 3 + 3 + 2 + 579 + 0 + 8 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 73325790864.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 439076509 + ... + 439076675.

It is an arithmetic number, because the mean of its divisors is an integer number (683956224).

Almost surely, 2^73325790864 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 73325790864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109432995840).

73325790864 is an abundant number, since it is smaller than the sum of its proper divisors (145540200816).

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

73325790864 is a wasteful number, since it uses less digits than its factorization.

73325790864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 73325790864 in words is "seventy-three billion, three hundred twenty-five million, seven hundred ninety thousand, eight hundred sixty-four".