30726958080 has 1056 divisors, whose sum is σ = 129462105600. Its totient is φ = 6072827904.

The previous prime is 30726958051. The next prime is 30726958117. The reversal of 30726958080 is 8085962703.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 345246676 + ... + 345246764.

Almost surely, 2^30726958080 is an apocalyptic number.

30726958080 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 30726958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64731052800).

30726958080 is an abundant number, since it is smaller than the sum of its proper divisors (98735147520).

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

30726958080 is a wasteful number, since it uses less digits than its factorization.

30726958080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 30726958080 in words is "thirty billion, seven hundred twenty-six million, nine hundred fifty-eight thousand, eighty".