73687983264 has 288 divisors, whose sum is σ = 242161920000. Its totient is φ = 20819814912.

The previous prime is 73687983223. The next prime is 73687983277. The reversal of 73687983264 is 46238978637.

73687983264 is a `hidden beast` number, since 7 + 368 + 7 + 9 + 8 + 3 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123018037 + ... + 123018635.

It is an arithmetic number, because the mean of its divisors is an integer number (840840000).

Almost surely, 2^73687983264 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 73687983264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960000).

73687983264 is an abundant number, since it is smaller than the sum of its proper divisors (168473936736).

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

73687983264 is a wasteful number, since it uses less digits than its factorization.

73687983264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1189 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 73687983264 in words is "seventy-three billion, six hundred eighty-seven million, nine hundred eighty-three thousand, two hundred sixty-four".