73407974400 has 792 divisors, whose sum is σ = 284109680400. Its totient is φ = 18048614400.

The previous prime is 73407974399. The next prime is 73407974411. The reversal of 73407974400 is 447970437.

73407974400 is a `hidden beast` number, since 73 + 40 + 79 + 74 + 400 = 666.

It is a super-2 number, since 2×73407974400² (a number of 23 digits) contains 22 as substring.

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

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, 179481396 + ... + 179481804.

Almost surely, 2^73407974400 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 73407974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142054840200).

73407974400 is an abundant number, since it is smaller than the sum of its proper divisors (210701706000).

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

73407974400 is a wasteful number, since it uses less digits than its factorization.

73407974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 73407974400 in words is "seventy-three billion, four hundred seven million, nine hundred seventy-four thousand, four hundred".