25464634303680 has 2688 divisors, whose sum is σ = 114981062676480. Its totient is φ = 5271038115840.

The previous prime is 25464634303663. The next prime is 25464634303697. The reversal of 25464634303680 is 8630343646452.

25464634303680 is a `hidden beast` number, since 2 + 5 + 46 + 4 + 63 + 430 + 36 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (25464634303663) and next prime (25464634303697).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9084777159 + ... + 9084779961.

It is an arithmetic number, because the mean of its divisors is an integer number (42775692960).

Almost surely, 2^{25464634303680} is an apocalyptic number.

25464634303680 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 25464634303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57490531338240).

25464634303680 is an abundant number, since it is smaller than the sum of its proper divisors (89516428372800).

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

25464634303680 is a wasteful number, since it uses less digits than its factorization.

25464634303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 54.

The spelling of 25464634303680 in words is "twenty-five trillion, four hundred sixty-four billion, six hundred thirty-four million, three hundred three thousand, six hundred eighty".