29407101864 has 96 divisors (see below), whose sum is σ = 85617648000. Its totient is φ = 8392500480.

The previous prime is 29407101853. The next prime is 29407101883. The reversal of 29407101864 is 46810170492.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1057612 + ... + 1085060.

It is an arithmetic number, because the mean of its divisors is an integer number (891850500).

Almost surely, 2^29407101864 is an apocalyptic number.

29407101864 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 29407101864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42808824000).

29407101864 is an abundant number, since it is smaller than the sum of its proper divisors (56210546136).

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

29407101864 is a wasteful number, since it uses less digits than its factorization.

29407101864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28383 (or 28372 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 29407101864 in words is "twenty-nine billion, four hundred seven million, one hundred one thousand, eight hundred sixty-four".