29039076864 has 240 divisors, whose sum is σ = 101417535648. Its totient is φ = 7808679936.

The previous prime is 29039076851. The next prime is 29039076931. The reversal of 29039076864 is 46867093092.

It is a happy number.

It is a super-2 number, since 2×29039076864² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29039076864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521874 + ... + 574830.

Almost surely, 2^29039076864 is an apocalyptic number.

29039076864 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 29039076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50708767824).

29039076864 is an abundant number, since it is smaller than the sum of its proper divisors (72378458784).

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

29039076864 is a wasteful number, since it uses less digits than its factorization.

29039076864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53005 (or 52986 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 29039076864 in words is "twenty-nine billion, thirty-nine million, seventy-six thousand, eight hundred sixty-four".