25760237664 has 144 divisors (see below), whose sum is σ = 79739332848. Its totient is φ = 7259148288.

The previous prime is 25760237651. The next prime is 25760237669. The reversal of 25760237664 is 46673206752.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25760237669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305884 + ... + 380900.

It is an arithmetic number, because the mean of its divisors is an integer number (553745367).

Almost surely, 2^25760237664 is an apocalyptic number.

25760237664 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 25760237664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39869666424).

25760237664 is an abundant number, since it is smaller than the sum of its proper divisors (53979095184).

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

25760237664 is a wasteful number, since it uses less digits than its factorization.

25760237664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75117 (or 75102 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 25760237664 in words is "twenty-five billion, seven hundred sixty million, two hundred thirty-seven thousand, six hundred sixty-four".