25976744640 has 1008 divisors, whose sum is σ = 117373261824. Its totient is φ = 5151928320.

The previous prime is 25976744639. The next prime is 25976744657. The reversal of 25976744640 is 4644767952.

25976744640 is a `hidden beast` number, since 2 + 597 + 6 + 7 + 4 + 4 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56105049 + ... + 56105511.

It is an arithmetic number, because the mean of its divisors is an integer number (116441728).

Almost surely, 2^25976744640 is an apocalyptic number.

25976744640 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 25976744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58686630912).

25976744640 is an abundant number, since it is smaller than the sum of its proper divisors (91396517184).

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

25976744640 is a wasteful number, since it uses less digits than its factorization.

25976744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 25976744640 in words is "twenty-five billion, nine hundred seventy-six million, seven hundred forty-four thousand, six hundred forty".