73795563864 has 384 divisors, whose sum is σ = 235997798400. Its totient is φ = 21398307840.

The previous prime is 73795563859. The next prime is 73795563971. The reversal of 73795563864 is 46836559737.

73795563864 is a `hidden beast` number, since 7 + 3 + 7 + 9 + 5 + 563 + 8 + 64 = 666.

It is a super-3 number, since 3×73795563864³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 78756804 + ... + 78757740.

It is an arithmetic number, because the mean of its divisors is an integer number (614577600).

Almost surely, 2^73795563864 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 73795563864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117998899200).

73795563864 is an abundant number, since it is smaller than the sum of its proper divisors (162202234536).

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

73795563864 is a wasteful number, since it uses less digits than its factorization.

73795563864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1109 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 73795563864 in words is "seventy-three billion, seven hundred ninety-five million, five hundred sixty-three thousand, eight hundred sixty-four".