30652680960 has 1296 divisors, whose sum is σ = 131565837312. Its totient is φ = 6768230400.

The previous prime is 30652680931. The next prime is 30652680979. The reversal of 30652680960 is 6908625603.

It is a happy number.

30652680960 is a `hidden beast` number, since 30 + 6 + 526 + 8 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 988796145 + ... + 988796175.

Almost surely, 2^30652680960 is an apocalyptic number.

30652680960 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 30652680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65782918656).

30652680960 is an abundant number, since it is smaller than the sum of its proper divisors (100913156352).

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

30652680960 is a wasteful number, since it uses less digits than its factorization.

30652680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 30652680960 in words is "thirty billion, six hundred fifty-two million, six hundred eighty thousand, nine hundred sixty".