73936557984960 has 2352 divisors, whose sum is σ = 307615992153120. Its totient is φ = 16876184371200.

The previous prime is 73936557984923. The next prime is 73936557984967. The reversal of 73936557984960 is 6948975563937.

73936557984960 is a `hidden beast` number, since 7 + 3 + 9 + 3 + 6 + 55 + 79 + 8 + 496 + 0 = 666.

It is a super-2 number, since 2×73936557984960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 73936557984960.

It is not an unprimeable number, because it can be changed into a prime (73936557984967) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 33561759219 + ... + 33561761421.

It is an arithmetic number, because the mean of its divisors is an integer number (130789112310).

Almost surely, 2^{73936557984960} 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 73936557984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153807996076560).

73936557984960 is an abundant number, since it is smaller than the sum of its proper divisors (233679434168160).

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

73936557984960 is a wasteful number, since it uses less digits than its factorization.

73936557984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 9258883200, while the sum is 81.

The spelling of 73936557984960 in words is "seventy-three trillion, nine hundred thirty-six billion, five hundred fifty-seven million, nine hundred eighty-four thousand, nine hundred sixty".