73317918960 has 1440 divisors, whose sum is σ = 324477446400. Its totient is φ = 15041894400.

The previous prime is 73317918959. The next prime is 73317919061. The reversal of 73317918960 is 6981971337.

73317918960 is a `hidden beast` number, since 7 + 331 + 79 + 189 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 73317918897 and 73317918906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2365094145 + ... + 2365094175.

It is an arithmetic number, because the mean of its divisors is an integer number (225331560).

Almost surely, 2^73317918960 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 73317918960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162238723200).

73317918960 is an abundant number, since it is smaller than the sum of its proper divisors (251159527440).

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

73317918960 is a wasteful number, since it uses less digits than its factorization.

73317918960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 73317918960 in words is "seventy-three billion, three hundred seventeen million, nine hundred eighteen thousand, nine hundred sixty".