30712697449920 has 1792 divisors, whose sum is σ = 119253303336960. Its totient is φ = 7504613867520.

The previous prime is 30712697449877. The next prime is 30712697449921. The reversal of 30712697449920 is 2994479621703.

30712697449920 is a `hidden beast` number, since 3 + 0 + 7 + 12 + 6 + 97 + 449 + 92 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30712697449921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 87004808464 + ... + 87004808816.

Almost surely, 2^{30712697449920} is an apocalyptic number.

30712697449920 is a gapful number since it is divisible by the number (30) 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 30712697449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59626651668480).

30712697449920 is an abundant number, since it is smaller than the sum of its proper divisors (88540605887040).

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

30712697449920 is a wasteful number, since it uses less digits than its factorization.

30712697449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 30712697449920 in words is "thirty trillion, seven hundred twelve billion, six hundred ninety-seven million, four hundred forty-nine thousand, nine hundred twenty".