30682921920 has 1008 divisors, whose sum is σ = 125661858912. Its totient is φ = 6317015040.

The previous prime is 30682921901. The next prime is 30682921963. The reversal of 30682921920 is 2912928603.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 502998690 + ... + 502998750.

Almost surely, 2^30682921920 is an apocalyptic number.

30682921920 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 30682921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62830929456).

30682921920 is an abundant number, since it is smaller than the sum of its proper divisors (94978936992).

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

30682921920 is a wasteful number, since it uses less digits than its factorization.

30682921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 30682921920 in words is "thirty billion, six hundred eighty-two million, nine hundred twenty-one thousand, nine hundred twenty".