25624361664 has 672 divisors, whose sum is σ = 89752017600. Its totient is φ = 7226081280.

The previous prime is 25624361627. The next prime is 25624361701. The reversal of 25624361664 is 46616342652.

It is a happy number.

25624361664 is a `hidden beast` number, since 2 + 5 + 6 + 24 + 3 + 616 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (25624361627) and next prime (25624361701).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 287914132 + ... + 287914220.

It is an arithmetic number, because the mean of its divisors is an integer number (133559550).

Almost surely, 2^25624361664 is an apocalyptic number.

25624361664 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 25624361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44876008800).

25624361664 is an abundant number, since it is smaller than the sum of its proper divisors (64127655936).

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

25624361664 is an equidigital number, since it uses as much as digits as its factorization.

25624361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 122 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 25624361664 in words is "twenty-five billion, six hundred twenty-four million, three hundred sixty-one thousand, six hundred sixty-four".