29745639072 has 240 divisors, whose sum is σ = 90444333672. Its totient is φ = 9583902720.

The previous prime is 29745639059. The next prime is 29745639103. The reversal of 29745639072 is 27093654792.

29745639072 is a `hidden beast` number, since 2 + 9 + 7 + 4 + 563 + 9 + 0 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8686985616 + 21058653456 = 93204^2 + 145116^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12007498 + ... + 12009974.

Almost surely, 2^29745639072 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 29745639072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45222166836).

29745639072 is an abundant number, since it is smaller than the sum of its proper divisors (60698694600).

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

29745639072 is a wasteful number, since it uses less digits than its factorization.

29745639072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 29745639072 in words is "twenty-nine billion, seven hundred forty-five million, six hundred thirty-nine thousand, seventy-two".