63785981952 has 768 divisors, whose sum is σ = 240023347200. Its totient is φ = 16257024000.

The previous prime is 63785981891. The next prime is 63785981953. The reversal of 63785981952 is 25918958736.

63785981952 is a `hidden beast` number, since 6 + 37 + 8 + 598 + 1 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63785981952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63785981953) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302303127 + ... + 302303337.

It is an arithmetic number, because the mean of its divisors is an integer number (312530400).

Almost surely, 2^63785981952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63785981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120011673600).

63785981952 is an abundant number, since it is smaller than the sum of its proper divisors (176237365248).

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

63785981952 is a wasteful number, since it uses less digits than its factorization.

63785981952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 305 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 63785981952 in words is "sixty-three billion, seven hundred eighty-five million, nine hundred eighty-one thousand, nine hundred fifty-two".