25684074864 has 400 divisors, whose sum is σ = 88282095616. Its totient is φ = 7054387200.

The previous prime is 25684074859. The next prime is 25684074883. The reversal of 25684074864 is 46847048652.

It is a happy number.

25684074864 is a `hidden beast` number, since 2 + 568 + 4 + 0 + 74 + 8 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 25684074864.

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, 76213704 + ... + 76214040.

Almost surely, 2^25684074864 is an apocalyptic number.

25684074864 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 25684074864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44141047808).

25684074864 is an abundant number, since it is smaller than the sum of its proper divisors (62598020752).

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

25684074864 is a wasteful number, since it uses less digits than its factorization.

25684074864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 25684074864 in words is "twenty-five billion, six hundred eighty-four million, seventy-four thousand, eight hundred sixty-four".