25768723680 has 432 divisors, whose sum is σ = 102932653824. Its totient is φ = 5853173760.

The previous prime is 25768723661. The next prime is 25768723703. The reversal of 25768723680 is 8632786752.

25768723680 is a `hidden beast` number, since 2 + 576 + 8 + 7 + 2 + 3 + 68 + 0 = 666.

It is a super-3 number, since 3×25768723680³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12205825 + ... + 12207935.

It is an arithmetic number, because the mean of its divisors is an integer number (238270032).

Almost surely, 2^25768723680 is an apocalyptic number.

25768723680 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 25768723680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51466326912).

25768723680 is an abundant number, since it is smaller than the sum of its proper divisors (77163930144).

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

25768723680 is a wasteful number, since it uses less digits than its factorization.

25768723680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 25768723680 in words is "twenty-five billion, seven hundred sixty-eight million, seven hundred twenty-three thousand, six hundred eighty".