30982996772640 has 576 divisors, whose sum is σ = 122637268615680. Its totient is φ = 7039611371520.

The previous prime is 30982996772527. The next prime is 30982996772647. The reversal of 30982996772640 is 4627769928903.

30982996772640 is a `hidden beast` number, since 3 + 0 + 9 + 8 + 299 + 6 + 77 + 264 + 0 = 666.

It is a super-3 number, since 3×30982996772640³ (a number of 41 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (30982996772647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64117212 + ... + 64598628.

It is an arithmetic number, because the mean of its divisors is an integer number (212911924680).

Almost surely, 2^{30982996772640} is an apocalyptic number.

30982996772640 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 30982996772640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61318634307840).

30982996772640 is an abundant number, since it is smaller than the sum of its proper divisors (91654271843040).

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

30982996772640 is a wasteful number, since it uses less digits than its factorization.

30982996772640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481705 (or 481694 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 30982996772640 in words is "thirty trillion, nine hundred eighty-two billion, nine hundred ninety-six million, seven hundred seventy-two thousand, six hundred forty".