30933152640 has 512 divisors, whose sum is σ = 123132441600. Its totient is φ = 7282040832.

The previous prime is 30933152639. The next prime is 30933152671. The reversal of 30933152640 is 4625133903.

It is a happy number.

30933152640 is a `hidden beast` number, since 3 + 0 + 9 + 3 + 3 + 1 + 5 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30933152595 and 30933152604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5163727 + ... + 5169713.

It is an arithmetic number, because the mean of its divisors is an integer number (240493050).

Almost surely, 2^30933152640 is an apocalyptic number.

30933152640 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 30933152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61566220800).

30933152640 is an abundant number, since it is smaller than the sum of its proper divisors (92199288960).

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

30933152640 is a wasteful number, since it uses less digits than its factorization.

30933152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6051 (or 6033 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 30933152640 in words is "thirty billion, nine hundred thirty-three million, one hundred fifty-two thousand, six hundred forty".