29364022464 has 224 divisors, whose sum is σ = 91660431360. Its totient is φ = 8122954752.

The previous prime is 29364022447. The next prime is 29364022469. The reversal of 29364022464 is 46422046392.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (29364022469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5310069 + ... + 5315595.

Almost surely, 2^29364022464 is an apocalyptic number.

29364022464 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 29364022464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45830215680).

29364022464 is an abundant number, since it is smaller than the sum of its proper divisors (62296408896).

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

29364022464 is a wasteful number, since it uses less digits than its factorization.

29364022464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5675 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 29364022464 in words is "twenty-nine billion, three hundred sixty-four million, twenty-two thousand, four hundred sixty-four".