73373121864 has 256 divisors, whose sum is σ = 259614720000. Its totient is φ = 18692011008.

The previous prime is 73373121851. The next prime is 73373121917. The reversal of 73373121864 is 46812137337.

73373121864 is a `hidden beast` number, since 7 + 3 + 373 + 1 + 218 + 64 = 666.

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 63 ways as a sum of consecutive naturals, for example, 413257 + ... + 563495.

It is an arithmetic number, because the mean of its divisors is an integer number (1014120000).

Almost surely, 2^73373121864 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 73373121864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129807360000).

73373121864 is an abundant number, since it is smaller than the sum of its proper divisors (186241598136).

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

73373121864 is a wasteful number, since it uses less digits than its factorization.

73373121864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150297 (or 150287 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 73373121864 in words is "seventy-three billion, three hundred seventy-three million, one hundred twenty-one thousand, eight hundred sixty-four".