73466812800 has 288 divisors, whose sum is σ = 262482363000. Its totient is φ = 19566059520.

The previous prime is 73466812739. The next prime is 73466812843. The reversal of 73466812800 is 821866437.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37122211 + ... + 37124189.

Almost surely, 2^73466812800 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 73466812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241181500).

73466812800 is an abundant number, since it is smaller than the sum of its proper divisors (189015550200).

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

73466812800 is a wasteful number, since it uses less digits than its factorization.

73466812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 73466812800 in words is "seventy-three billion, four hundred sixty-six million, eight hundred twelve thousand, eight hundred".