25672464000 has 896 divisors, whose sum is σ = 100176860160. Its totient is φ = 6531840000.

The previous prime is 25672463987. The next prime is 25672464029. The reversal of 25672464000 is 46427652.

25672464000 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 2 + 4 + 640 + 0 + 0 = 666.

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

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 361583965 + ... + 361584035.

Almost surely, 2^25672464000 is an apocalyptic number.

25672464000 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 25672464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50088430080).

25672464000 is an abundant number, since it is smaller than the sum of its proper divisors (74504396160).

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

25672464000 is an frugal number, since it uses more digits than its factorization.

25672464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 25672464000 in words is "twenty-five billion, six hundred seventy-two million, four hundred sixty-four thousand".