1272579264 has 378 divisors, whose sum is σ = 4360918380. Its totient is φ = 353548800.

The previous prime is 1272579179. The next prime is 1272579293. The reversal of 1272579264 is 4629752721.

1272579264 is a `hidden beast` number, since 1 + 2 + 72 + 579 + 2 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 41050929 + ... + 41050959.

Almost surely, 2^1272579264 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 1272579264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180459190).

1272579264 is an abundant number, since it is smaller than the sum of its proper divisors (3088339116).

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

1272579264 is a wasteful number, since it uses less digits than its factorization.

1272579264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 66 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 1272579264 is about 35673.2289539369. The cubic root of 1272579264 is about 1083.6647520179.

The spelling of 1272579264 in words is "one billion, two hundred seventy-two million, five hundred seventy-nine thousand, two hundred sixty-four".