30757401664192 has 112 divisors (see below), whose sum is σ = 72087352944640. Its totient is φ = 12741670656000.

The previous prime is 30757401664181. The next prime is 30757401664201. The reversal of 30757401664192 is 29146610475703.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×30757401664192² (a number of 28 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 10640692 + ... + 13218892.

Almost surely, 2^{30757401664192} is an apocalyptic number.

30757401664192 is a gapful number since it is divisible by the number (32) 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 30757401664192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36043676472320).

30757401664192 is an abundant number, since it is smaller than the sum of its proper divisors (41329951280448).

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

30757401664192 is a wasteful number, since it uses less digits than its factorization.

30757401664192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579110 (or 2579100 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 30757401664192 in words is "thirty trillion, seven hundred fifty-seven billion, four hundred one million, six hundred sixty-four thousand, one hundred ninety-two".