730257638400 has 660 divisors, whose sum is σ = 2737282167312. Its totient is φ = 192343818240.

The previous prime is 730257638399. The next prime is 730257638423. The reversal of 730257638400 is 4836752037.

730257638400 is a `hidden beast` number, since 7 + 3 + 0 + 2 + 5 + 7 + 638 + 4 + 0 + 0 = 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, 172106679 + ... + 172110921.

Almost surely, 2^730257638400 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 730257638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368641083656).

730257638400 is an abundant number, since it is smaller than the sum of its proper divisors (2007024528912).

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

730257638400 is a wasteful number, since it uses less digits than its factorization.

730257638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 730257638400 in words is "seven hundred thirty billion, two hundred fifty-seven million, six hundred thirty-eight thousand, four hundred".