25675676640 has 576 divisors, whose sum is σ = 97757150400. Its totient is φ = 6106447872.

The previous prime is 25675676633. The next prime is 25675676647. The reversal of 25675676640 is 4667657652.

25675676640 is a `hidden beast` number, since 2 + 567 + 5 + 6 + 76 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25675676633) and next prime (25675676647).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25675676647) 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, 41884974 + ... + 41885586.

It is an arithmetic number, because the mean of its divisors is an integer number (169717275).

Almost surely, 2^25675676640 is an apocalyptic number.

25675676640 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 25675676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48878575200).

25675676640 is an abundant number, since it is smaller than the sum of its proper divisors (72081473760).

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

25675676640 is a wasteful number, since it uses less digits than its factorization.

25675676640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 25675676640 in words is "twenty-five billion, six hundred seventy-five million, six hundred seventy-six thousand, six hundred forty".