30893696640 has 192 divisors, whose sum is σ = 106901907840. Its totient is φ = 8221169664.

The previous prime is 30893696609. The next prime is 30893696651. The reversal of 30893696640 is 4669639803.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2891949 + ... + 2902611.

It is an arithmetic number, because the mean of its divisors is an integer number (556780770).

Almost surely, 2^30893696640 is an apocalyptic number.

30893696640 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 30893696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53450953920).

30893696640 is an abundant number, since it is smaller than the sum of its proper divisors (76008211200).

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

30893696640 is a wasteful number, since it uses less digits than its factorization.

30893696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11191 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 30893696640 in words is "thirty billion, eight hundred ninety-three million, six hundred ninety-six thousand, six hundred forty".