29968360464 has 160 divisors (see below), whose sum is σ = 90337075200. Its totient is φ = 8384140800.

The previous prime is 29968360453. The next prime is 29968360469. The reversal of 29968360464 is 46406386992.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (29968360469) 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, 3550329 + ... + 3558759.

It is an arithmetic number, because the mean of its divisors is an integer number (564606720).

Almost surely, 2^29968360464 is an apocalyptic number.

29968360464 is a gapful number since it is divisible by the number (24) 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 29968360464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45168537600).

29968360464 is an abundant number, since it is smaller than the sum of its proper divisors (60368714736).

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

29968360464 is a wasteful number, since it uses less digits than its factorization.

29968360464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8669 (or 8663 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 29968360464 in words is "twenty-nine billion, nine hundred sixty-eight million, three hundred sixty thousand, four hundred sixty-four".