30664427713920 has 2048 divisors, whose sum is σ = 146199416832000. Its totient is φ = 5866264166400.

The previous prime is 30664427713883. The next prime is 30664427713921. The reversal of 30664427713920 is 2931772446603.

It is a happy number.

30664427713920 is a `hidden beast` number, since 3 + 0 + 6 + 64 + 427 + 7 + 139 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30664427713921) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7247558205 + ... + 7247562435.

It is an arithmetic number, because the mean of its divisors is an integer number (71386434000).

Almost surely, 2^{30664427713920} is an apocalyptic number.

30664427713920 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 30664427713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73099708416000).

30664427713920 is an abundant number, since it is smaller than the sum of its proper divisors (115534989118080).

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

30664427713920 is a wasteful number, since it uses less digits than its factorization.

30664427713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4709 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 30664427713920 in words is "thirty trillion, six hundred sixty-four billion, four hundred twenty-seven million, seven hundred thirteen thousand, nine hundred twenty".