730093972608 has 2048 divisors, whose sum is σ = 3043353600000. Its totient is φ = 169723330560.

The previous prime is 730093972567. The next prime is 730093972627. The reversal of 730093972608 is 806279390037.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10001287260 + ... + 10001287332.

It is an arithmetic number, because the mean of its divisors is an integer number (1486012500).

Almost surely, 2^730093972608 is an apocalyptic number.

730093972608 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730093972608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521676800000).

730093972608 is an abundant number, since it is smaller than the sum of its proper divisors (2313259627392).

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

730093972608 is a wasteful number, since it uses less digits than its factorization.

730093972608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 730093972608 in words is "seven hundred thirty billion, ninety-three million, nine hundred seventy-two thousand, six hundred eight".