30753832464 has 100 divisors (see below), whose sum is σ = 89048379904. Its totient is φ = 10246917312.

The previous prime is 30753832463. The next prime is 30753832471. The reversal of 30753832464 is 46423835703.

30753832464 is a `hidden beast` number, since 30 + 7 + 538 + 3 + 24 + 64 = 666.

It is a super-2 number, since 2×30753832464² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30753832463) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4827009 + ... + 4833375.

Almost surely, 2^30753832464 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 30753832464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44524189952).

30753832464 is an abundant number, since it is smaller than the sum of its proper divisors (58294547440).

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

30753832464 is a wasteful number, since it uses less digits than its factorization.

30753832464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10114 (or 10099 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 30753832464 in words is "thirty billion, seven hundred fifty-three million, eight hundred thirty-two thousand, four hundred sixty-four".