29272126464 has 1056 divisors, whose sum is σ = 112907934720. Its totient is φ = 7431782400.

The previous prime is 29272126421. The next prime is 29272126489. The reversal of 29272126464 is 46462127292.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 713954284 + ... + 713954324.

Almost surely, 2^29272126464 is an apocalyptic number.

29272126464 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 29272126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56453967360).

29272126464 is an abundant number, since it is smaller than the sum of its proper divisors (83635808256).

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

29272126464 is a wasteful number, since it uses less digits than its factorization.

29272126464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 101 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 29272126464 in words is "twenty-nine billion, two hundred seventy-two million, one hundred twenty-six thousand, four hundred sixty-four".