73687164408 has 384 divisors, whose sum is σ = 244474513920. Its totient is φ = 19748551680.

The previous prime is 73687164401. The next prime is 73687164437. The reversal of 73687164408 is 80446178637.

73687164408 is a `hidden beast` number, since 73 + 6 + 8 + 7 + 164 + 408 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73687164401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25522341 + ... + 25525227.

It is an arithmetic number, because the mean of its divisors is an integer number (636652380).

Almost surely, 2^73687164408 is an apocalyptic number.

73687164408 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73687164408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122237256960).

73687164408 is an abundant number, since it is smaller than the sum of its proper divisors (170787349512).

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

73687164408 is a wasteful number, since it uses less digits than its factorization.

73687164408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 73687164408 in words is "seventy-three billion, six hundred eighty-seven million, one hundred sixty-four thousand, four hundred eight".