747930413305152 has 672 divisors, whose sum is σ = 2853099175680000. Its totient is φ = 181450857369600.

The previous prime is 747930413305129. The next prime is 747930413305181. The reversal of 747930413305152 is 251503314039747.

747930413305152 is a `hidden beast` number, since 7 + 4 + 7 + 9 + 304 + 13 + 305 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53580474 + ... + 66081222.

Almost surely, 2^{747930413305152} is an apocalyptic number.

747930413305152 is a gapful number since it is divisible by the number (72) 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 747930413305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426549587840000).

747930413305152 is an abundant number, since it is smaller than the sum of its proper divisors (2105168762374848).

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

747930413305152 is a wasteful number, since it uses less digits than its factorization.

747930413305152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12500875 (or 12500862 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 747930413305152 in words is "seven hundred forty-seven trillion, nine hundred thirty billion, four hundred thirteen million, three hundred five thousand, one hundred fifty-two".