29364698664 has 640 divisors, whose sum is σ = 105937920000. Its totient is φ = 7407106560.

The previous prime is 29364698641. The next prime is 29364698711. The reversal of 29364698664 is 46689646392.

29364698664 is a `hidden beast` number, since 2 + 9 + 36 + 469 + 86 + 64 = 666.

It is a super-3 number, since 3×29364698664³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 77479227 + ... + 77479605.

It is an arithmetic number, because the mean of its divisors is an integer number (165528000).

Almost surely, 2^29364698664 is an apocalyptic number.

29364698664 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 29364698664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52968960000).

29364698664 is an abundant number, since it is smaller than the sum of its proper divisors (76573221336).

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

29364698664 is a wasteful number, since it uses less digits than its factorization.

29364698664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 470 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 29364698664 in words is "twenty-nine billion, three hundred sixty-four million, six hundred ninety-eight thousand, six hundred sixty-four".