73760501664 has 192 divisors, whose sum is σ = 221256161280. Its totient is φ = 23889116160.

The previous prime is 73760501657. The next prime is 73760501729. The reversal of 73760501664 is 46610506737.

73760501664 is a `hidden beast` number, since 7 + 37 + 605 + 0 + 1 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×73760501664² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34939969 + ... + 34942079.

It is an arithmetic number, because the mean of its divisors is an integer number (1152375840).

Almost surely, 2^73760501664 is an apocalyptic number.

73760501664 is a gapful number since it is divisible by the number (74) 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 73760501664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110628080640).

73760501664 is an abundant number, since it is smaller than the sum of its proper divisors (147495659616).

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

73760501664 is a wasteful number, since it uses less digits than its factorization.

73760501664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 73760501664 in words is "seventy-three billion, seven hundred sixty million, five hundred one thousand, six hundred sixty-four".