30676008960 has 720 divisors, whose sum is σ = 116791024896. Its totient is φ = 7707820032.

The previous prime is 30676008949. The next prime is 30676008967. The reversal of 30676008960 is 6980067603.

30676008960 is a `hidden beast` number, since 30 + 6 + 7 + 600 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30676008967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457850847 + ... + 457850913.

Almost surely, 2^30676008960 is an apocalyptic number.

30676008960 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 30676008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58395512448).

30676008960 is an abundant number, since it is smaller than the sum of its proper divisors (86115015936).

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

30676008960 is an frugal number, since it uses more digits than its factorization.

30676008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 30676008960 in words is "thirty billion, six hundred seventy-six million, eight thousand, nine hundred sixty".