29764497664 has 54 divisors (see below), whose sum is σ = 65304967070. Its totient is φ = 13529303040.

The previous prime is 29764497643. The next prime is 29764497673. The reversal of 29764497664 is 46679446792.

It can be written as a sum of positive squares in only one way, i.e., 20223115264 + 9541382400 = 142208^2 + 97680^2 .

It is a super-2 number, since 2×29764497664² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 29764497596 and 29764497605.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 449469 + ... + 511420.

Almost surely, 2^29764497664 is an apocalyptic number.

It is an amenable number.

29764497664 is an abundant number, since it is smaller than the sum of its proper divisors (35540469406).

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

29764497664 is an equidigital number, since it uses as much as digits as its factorization.

29764497664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960927 (or 960902 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 64.

The spelling of 29764497664 in words is "twenty-nine billion, seven hundred sixty-four million, four hundred ninety-seven thousand, six hundred sixty-four".