30342072960 has 512 divisors, whose sum is σ = 111349728000. Its totient is φ = 7803371520.

The previous prime is 30342072911. The next prime is 30342072983. The reversal of 30342072960 is 6927024303.

It is a happy number.

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

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, 80058051 + ... + 80058429.

Almost surely, 2^30342072960 is an apocalyptic number.

30342072960 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 30342072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55674864000).

30342072960 is an abundant number, since it is smaller than the sum of its proper divisors (81007655040).

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

30342072960 is a wasteful number, since it uses less digits than its factorization.

30342072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 30342072960 in words is "thirty billion, three hundred forty-two million, seventy-two thousand, nine hundred sixty".