29746870272 has 288 divisors, whose sum is σ = 101836425600. Its totient is φ = 8498110464.

The previous prime is 29746870253. The next prime is 29746870319. The reversal of 29746870272 is 27207864792.

It is a happy number.

29746870272 is a `hidden beast` number, since 2 + 97 + 468 + 70 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 3479379 + ... + 3487917.

It is an arithmetic number, because the mean of its divisors is an integer number (353598700).

Almost surely, 2^29746870272 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 29746870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50918212800).

29746870272 is an abundant number, since it is smaller than the sum of its proper divisors (72089555328).

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

29746870272 is an frugal number, since it uses more digits than its factorization.

29746870272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8583 (or 8551 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 29746870272 in words is "twenty-nine billion, seven hundred forty-six million, eight hundred seventy thousand, two hundred seventy-two".