73600971264 has 120 divisors (see below), whose sum is σ = 216937543680. Its totient is φ = 24011593728.

The previous prime is 73600971233. The next prime is 73600971271. The reversal of 73600971264 is 46217900637.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46657 + ... + 386495.

It is an arithmetic number, because the mean of its divisors is an integer number (1807812864).

Almost surely, 2^73600971264 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 73600971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108468771840).

73600971264 is an abundant number, since it is smaller than the sum of its proper divisors (143336572416).

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

73600971264 is a wasteful number, since it uses less digits than its factorization.

73600971264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339910 (or 339891 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 73600971264 in words is "seventy-three billion, six hundred million, nine hundred seventy-one thousand, two hundred sixty-four".