29713388640 has 192 divisors, whose sum is σ = 106102483200. Its totient is φ = 6929086464.

The previous prime is 29713388599. The next prime is 29713388641. The reversal of 29713388640 is 4688331792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29713388641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6750 + ... + 243869.

It is an arithmetic number, because the mean of its divisors is an integer number (552617100).

Almost surely, 2^29713388640 is an apocalyptic number.

29713388640 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 29713388640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53051241600).

29713388640 is an abundant number, since it is smaller than the sum of its proper divisors (76389094560).

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

29713388640 is a wasteful number, since it uses less digits than its factorization.

29713388640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250669 (or 250661 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 29713388640 in words is "twenty-nine billion, seven hundred thirteen million, three hundred eighty-eight thousand, six hundred forty".