73457409600 has 420 divisors, whose sum is σ = 272198006784. Its totient is φ = 19430046720.

The previous prime is 73457409583. The next prime is 73457409611. The reversal of 73457409600 is 690475437.

73457409600 is a `hidden beast` number, since 7 + 34 + 5 + 7 + 4 + 0 + 9 + 600 = 666.

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 59 ways as a sum of consecutive naturals, for example, 16456969 + ... + 16461431.

Almost surely, 2^73457409600 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 73457409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136099003392).

73457409600 is an abundant number, since it is smaller than the sum of its proper divisors (198740597184).

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

73457409600 is a wasteful number, since it uses less digits than its factorization.

73457409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 73457409600 in words is "seventy-three billion, four hundred fifty-seven million, four hundred nine thousand, six hundred".