25023644640 has 288 divisors, whose sum is σ = 88130034720. Its totient is φ = 6460895232.

The previous prime is 25023644609. The next prime is 25023644693. The reversal of 25023644640 is 4644632052.

25023644640 is a `hidden beast` number, since 2 + 5 + 0 + 2 + 3 + 6 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×25023644640³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25023644595 and 25023644604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12093526 + ... + 12095594.

It is an arithmetic number, because the mean of its divisors is an integer number (306007065).

Almost surely, 2^25023644640 is an apocalyptic number.

25023644640 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 25023644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44065017360).

25023644640 is an abundant number, since it is smaller than the sum of its proper divisors (63106390080).

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

25023644640 is a wasteful number, since it uses less digits than its factorization.

25023644640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 25023644640 in words is "twenty-five billion, twenty-three million, six hundred forty-four thousand, six hundred forty".