25764780480642 has 96 divisors (see below), whose sum is σ = 64452783642624. Its totient is φ = 7285923216000.

The previous prime is 25764780480631. The next prime is 25764780480653. The reversal of 25764780480642 is 24608408746752.

It is a happy number.

25764780480642 is a `hidden beast` number, since 2 + 5 + 76 + 4 + 7 + 80 + 480 + 6 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (25764780480631) and next prime (25764780480653).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 25764780480642.

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, 36055263 + ... + 36762909.

It is an arithmetic number, because the mean of its divisors is an integer number (671383162944).

Almost surely, 2^{25764780480642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25764780480642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32226391821312).

25764780480642 is an abundant number, since it is smaller than the sum of its proper divisors (38688003161982).

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

25764780480642 is a wasteful number, since it uses less digits than its factorization.

25764780480642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710624 (or 710621 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 25764780480642 in words is "twenty-five trillion, seven hundred sixty-four billion, seven hundred eighty million, four hundred eighty thousand, six hundred forty-two".