27640125264 has 80 divisors (see below), whose sum is σ = 73744565760. Its totient is φ = 8911626240.

The previous prime is 27640125263. The next prime is 27640125283. The reversal of 27640125264 is 46252104672.

It is a super-2 number, since 2×27640125264² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27640125263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4128832 + ... + 4135520.

It is an arithmetic number, because the mean of its divisors is an integer number (921807072).

Almost surely, 2^27640125264 is an apocalyptic number.

27640125264 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 27640125264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36872282880).

27640125264 is an abundant number, since it is smaller than the sum of its proper divisors (46104440496).

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

27640125264 is a wasteful number, since it uses less digits than its factorization.

27640125264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9508 (or 9502 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 27640125264 in words is "twenty-seven billion, six hundred forty million, one hundred twenty-five thousand, two hundred sixty-four".