73234886400 has 540 divisors, whose sum is σ = 291639019672. Its totient is φ = 18025390080.

The previous prime is 73234886393. The next prime is 73234886443. The reversal of 73234886400 is 468843237.

73234886400 is a `hidden beast` number, since 7 + 3 + 234 + 8 + 8 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 59 ways as a sum of consecutive naturals, for example, 6733767 + ... + 6744633.

Almost surely, 2^73234886400 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 73234886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145819509836).

73234886400 is an abundant number, since it is smaller than the sum of its proper divisors (218404133272).

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

73234886400 is a wasteful number, since it uses less digits than its factorization.

73234886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10918 (or 10890 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 73234886400 in words is "seventy-three billion, two hundred thirty-four million, eight hundred eighty-six thousand, four hundred".