25648750764 has 360 divisors, whose sum is σ = 84414784608. Its totient is φ = 6647546880.

The previous prime is 25648750759. The next prime is 25648750789. The reversal of 25648750764 is 46705784652.

It is a happy number.

25648750764 is a `hidden beast` number, since 2 + 56 + 4 + 87 + 507 + 6 + 4 = 666.

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 25648750764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23380264 + ... + 23381360.

Almost surely, 2^25648750764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25648750764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42207392304).

25648750764 is an abundant number, since it is smaller than the sum of its proper divisors (58766033844).

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

25648750764 is a wasteful number, since it uses less digits than its factorization.

25648750764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 25648750764 in words is "twenty-five billion, six hundred forty-eight million, seven hundred fifty thousand, seven hundred sixty-four".