730639832400 has 180 divisors, whose sum is σ = 2536374584380. Its totient is φ = 194771865600.

The previous prime is 730639832383. The next prime is 730639832411. The reversal of 730639832400 is 4238936037.

730639832400 is a `hidden beast` number, since 7 + 3 + 0 + 639 + 8 + 3 + 2 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 13644108864 + 716995723536 = 116808^2 + 846756^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11203086 + ... + 11268114.

Almost surely, 2^730639832400 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 730639832400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268187292190).

730639832400 is an abundant number, since it is smaller than the sum of its proper divisors (1805734751980).

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

730639832400 is a wasteful number, since it uses less digits than its factorization.

730639832400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68174 (or 68160 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 730639832400 in words is "seven hundred thirty billion, six hundred thirty-nine million, eight hundred thirty-two thousand, four hundred".