73546792704 has 864 divisors, whose sum is σ = 280151359488. Its totient is φ = 17998848000.

The previous prime is 73546792687. The next prime is 73546792777. The reversal of 73546792704 is 40729764537.

73546792704 is a `hidden beast` number, since 7 + 3 + 546 + 7 + 92 + 7 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236484709 + ... + 236485019.

Almost surely, 2^73546792704 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 73546792704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140075679744).

73546792704 is an abundant number, since it is smaller than the sum of its proper divisors (206604566784).

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

73546792704 is a wasteful number, since it uses less digits than its factorization.

73546792704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 73546792704 in words is "seventy-three billion, five hundred forty-six million, seven hundred ninety-two thousand, seven hundred four".