73009612800 has 864 divisors, whose sum is σ = 285169248000. Its totient is φ = 17783193600.

The previous prime is 73009612777. The next prime is 73009612813. The reversal of 73009612800 is 821690037.

73009612800 is a `hidden beast` number, since 7 + 30 + 0 + 9 + 612 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×73009612800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 271411066 + ... + 271411334.

It is an arithmetic number, because the mean of its divisors is an integer number (330057000).

Almost surely, 2^73009612800 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 73009612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142584624000).

73009612800 is an abundant number, since it is smaller than the sum of its proper divisors (212159635200).

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

73009612800 is a wasteful number, since it uses less digits than its factorization.

73009612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 73009612800 in words is "seventy-three billion, nine million, six hundred twelve thousand, eight hundred".