8256949272 has 192 divisors, whose sum is σ = 27095126400. Its totient is φ = 2309523840.

The previous prime is 8256949201. The next prime is 8256949277. The reversal of 8256949272 is 2729496528.

8256949272 is a `hidden beast` number, since 8 + 2 + 569 + 4 + 9 + 2 + 72 = 666.

It is a super-2 number, since 2×8256949272² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8256949277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391263 + ... + 411825.

It is an arithmetic number, because the mean of its divisors is an integer number (141120450).

Almost surely, 2^8256949272 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 8256949272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547563200).

8256949272 is an abundant number, since it is smaller than the sum of its proper divisors (18838177128).

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

8256949272 is a wasteful number, since it uses less digits than its factorization.

8256949272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20615 (or 20592 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 8256949272 is about 90867.7570538637. The cubic root of 8256949272 is about 2021.1871980790.

It can be divided in two parts, 82569 and 49272, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 8256949272 in words is "eight billion, two hundred fifty-six million, nine hundred forty-nine thousand, two hundred seventy-two".