25974744768 has 672 divisors, whose sum is σ = 93066900480. Its totient is φ = 7077611520.

The previous prime is 25974744701. The next prime is 25974744769. The reversal of 25974744768 is 86744747952.

25974744768 is a `hidden beast` number, since 2 + 5 + 97 + 4 + 74 + 476 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (25974744769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242754571 + ... + 242754677.

Almost surely, 2^25974744768 is an apocalyptic number.

25974744768 is a gapful number since it is divisible by the number (28) 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 25974744768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46533450240).

25974744768 is an abundant number, since it is smaller than the sum of its proper divisors (67092155712).

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

25974744768 is a wasteful number, since it uses less digits than its factorization.

25974744768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 227 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 25974744768 in words is "twenty-five billion, nine hundred seventy-four million, seven hundred forty-four thousand, seven hundred sixty-eight".