29914793640 has 80 divisors (see below), whose sum is σ = 100546956180. Its totient is φ = 7977277440.

The previous prime is 29914793639. The next prime is 29914793681. The reversal of 29914793640 is 4639741992.

29914793640 is a `hidden beast` number, since 29 + 91 + 479 + 3 + 64 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29791450404 + 123343236 = 172602^2 + 11106^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 19 ways as a sum of consecutive naturals, for example, 4613241 + ... + 4619720.

Almost surely, 2^29914793640 is an apocalyptic number.

29914793640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29914793640 is an abundant number, since it is smaller than the sum of its proper divisors (70632162540).

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

29914793640 is a wasteful number, since it uses less digits than its factorization.

29914793640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9232984 (or 9232971 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 29914793640 in words is "twenty-nine billion, nine hundred fourteen million, seven hundred ninety-three thousand, six hundred forty".