29457264168 has 320 divisors, whose sum is σ = 89879961600. Its totient is φ = 8986412160.

The previous prime is 29457264149. The next prime is 29457264173. The reversal of 29457264168 is 86146275492.

29457264168 is a `hidden beast` number, since 2 + 9 + 4 + 572 + 6 + 4 + 1 + 68 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47588163 + ... + 47588781.

It is an arithmetic number, because the mean of its divisors is an integer number (280874880).

Almost surely, 2^29457264168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29457264168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44939980800).

29457264168 is an abundant number, since it is smaller than the sum of its proper divisors (60422697432).

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

29457264168 is a wasteful number, since it uses less digits than its factorization.

29457264168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 781 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 29457264168 in words is "twenty-nine billion, four hundred fifty-seven million, two hundred sixty-four thousand, one hundred sixty-eight".