29945963640 has 128 divisors (see below), whose sum is σ = 91675699200. Its totient is φ = 7823692800.

The previous prime is 29945963639. The next prime is 29945963651. The reversal of 29945963640 is 4636954992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1311441 + ... + 1334079.

It is an arithmetic number, because the mean of its divisors is an integer number (716216400).

Almost surely, 2^29945963640 is an apocalyptic number.

29945963640 is a gapful number since it is divisible by the number (20) 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 29945963640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45837849600).

29945963640 is an abundant number, since it is smaller than the sum of its proper divisors (61729735560).

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

29945963640 is a wasteful number, since it uses less digits than its factorization.

29945963640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22877 (or 22873 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 57.

The spelling of 29945963640 in words is "twenty-nine billion, nine hundred forty-five million, nine hundred sixty-three thousand, six hundred forty".