29720972736 has 1008 divisors, whose sum is σ = 115305108480. Its totient is φ = 7472424960.

The previous prime is 29720972711. The next prime is 29720972777. The reversal of 29720972736 is 63727902792.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 443596575 + ... + 443596641.

Almost surely, 2^29720972736 is an apocalyptic number.

29720972736 is a gapful number since it is divisible by the number (26) 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 29720972736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57652554240).

29720972736 is an abundant number, since it is smaller than the sum of its proper divisors (85584135744).

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

29720972736 is a wasteful number, since it uses less digits than its factorization.

29720972736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 29720972736 in words is "twenty-nine billion, seven hundred twenty million, nine hundred seventy-two thousand, seven hundred thirty-six".