25632704640 has 256 divisors, whose sum is σ = 85029027840. Its totient is φ = 6560870400.

The previous prime is 25632704611. The next prime is 25632704659. The reversal of 25632704640 is 4640723652.

It is a super-2 number, since 2×25632704640² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7557345 + ... + 7560735.

It is an arithmetic number, because the mean of its divisors is an integer number (332144640).

Almost surely, 2^25632704640 is an apocalyptic number.

25632704640 is a gapful number since it is divisible by the number (20) 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 25632704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42514513920).

25632704640 is an abundant number, since it is smaller than the sum of its proper divisors (59396323200).

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

25632704640 is a wasteful number, since it uses less digits than its factorization.

25632704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 25632704640 in words is "twenty-five billion, six hundred thirty-two million, seven hundred four thousand, six hundred forty".