29797600896 has 672 divisors, whose sum is σ = 109300874400. Its totient is φ = 8065516032.

The previous prime is 29797600853. The next prime is 29797600907. The reversal of 29797600896 is 69800679792.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-4 number, since 4×29797600896⁴ (a number of 43 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1568294775 + ... + 1568294793.

Almost surely, 2^29797600896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29797600896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54650437200).

29797600896 is an abundant number, since it is smaller than the sum of its proper divisors (79503273504).

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

29797600896 is an frugal number, since it uses more digits than its factorization.

29797600896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 29797600896 in words is "twenty-nine billion, seven hundred ninety-seven million, six hundred thousand, eight hundred ninety-six".