30726479167488 has 960 divisors, whose sum is σ = 101465505792000. Its totient is φ = 9129668640768.

The previous prime is 30726479167477. The next prime is 30726479167507. The reversal of 30726479167488 is 88476197462703.

30726479167488 is a `hidden beast` number, since 3 + 0 + 7 + 2 + 6 + 479 + 1 + 6 + 74 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 21352660273 + ... + 21352661711.

It is an arithmetic number, because the mean of its divisors is an integer number (105693235200).

Almost surely, 2^{30726479167488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30726479167488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50732752896000).

30726479167488 is an abundant number, since it is smaller than the sum of its proper divisors (70739026624512).

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

30726479167488 is a wasteful number, since it uses less digits than its factorization.

30726479167488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 30726479167488 in words is "thirty trillion, seven hundred twenty-six billion, four hundred seventy-nine million, one hundred sixty-seven thousand, four hundred eighty-eight".