29007089664 has 416 divisors, whose sum is σ = 95115202560. Its totient is φ = 7674003456.

The previous prime is 29007089627. The next prime is 29007089677. The reversal of 29007089664 is 46698070092.

It is a happy number.

It is a super-2 number, since 2×29007089664² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121368457 + ... + 121368695.

Almost surely, 2^29007089664 is an apocalyptic number.

29007089664 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 29007089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47557601280).

29007089664 is an abundant number, since it is smaller than the sum of its proper divisors (66108112896).

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

29007089664 is a wasteful number, since it uses less digits than its factorization.

29007089664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 29007089664 in words is "twenty-nine billion, seven million, eighty-nine thousand, six hundred sixty-four".