30696768960 has 448 divisors, whose sum is σ = 116689144320. Its totient is φ = 6738001920.

The previous prime is 30696768953. The next prime is 30696768979. The reversal of 30696768960 is 6986769603.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 30696768894 and 30696768903.

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, 7273731 + ... + 7277949.

It is an arithmetic number, because the mean of its divisors is an integer number (260466840).

Almost surely, 2^30696768960 is an apocalyptic number.

30696768960 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 30696768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58344572160).

30696768960 is an abundant number, since it is smaller than the sum of its proper divisors (85992375360).

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

30696768960 is a wasteful number, since it uses less digits than its factorization.

30696768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4316 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 30696768960 in words is "thirty billion, six hundred ninety-six million, seven hundred sixty-eight thousand, nine hundred sixty".