25617622464 has 560 divisors, whose sum is σ = 90000953856. Its totient is φ = 7054387200.

The previous prime is 25617622453. The next prime is 25617622477. The reversal of 25617622464 is 46422671652.

25617622464 is a `hidden beast` number, since 2 + 5 + 6 + 17 + 622 + 4 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 157163247 + ... + 157163409.

Almost surely, 2^25617622464 is an apocalyptic number.

25617622464 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 25617622464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45000476928).

25617622464 is an abundant number, since it is smaller than the sum of its proper divisors (64383331392).

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

25617622464 is a wasteful number, since it uses less digits than its factorization.

25617622464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 307 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 25617622464 in words is "twenty-five billion, six hundred seventeen million, six hundred twenty-two thousand, four hundred sixty-four".