730993619664 has 1080 divisors, whose sum is σ = 2745229294080. Its totient is φ = 180690048000.

The previous prime is 730993619659. The next prime is 730993619773. The reversal of 730993619664 is 466916399037.

730993619664 is a `hidden beast` number, since 7 + 3 + 0 + 9 + 9 + 3 + 619 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1879160782 + ... + 1879161170.

It is an arithmetic number, because the mean of its divisors is an integer number (2541878976).

Almost surely, 2^730993619664 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 730993619664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372614647040).

730993619664 is an abundant number, since it is smaller than the sum of its proper divisors (2014235674416).

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

730993619664 is a wasteful number, since it uses less digits than its factorization.

730993619664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 730993619664 in words is "seven hundred thirty billion, nine hundred ninety-three million, six hundred nineteen thousand, six hundred sixty-four".