63781251984 has 240 divisors, whose sum is σ = 196688786112. Its totient is φ = 19939405824.

The previous prime is 63781251983. The next prime is 63781251991. The reversal of 63781251984 is 48915218736.

63781251984 is a `hidden beast` number, since 6 + 37 + 8 + 12 + 519 + 84 = 666.

63781251984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 63781251984.

It is not an unprimeable number, because it can be changed into a prime (63781251983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20686507 + ... + 20689589.

Almost surely, 2^63781251984 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 63781251984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98344393056).

63781251984 is an abundant number, since it is smaller than the sum of its proper divisors (132907534128).

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

63781251984 is a wasteful number, since it uses less digits than its factorization.

63781251984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3418 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 63781251984 in words is "sixty-three billion, seven hundred eighty-one million, two hundred fifty-one thousand, nine hundred eighty-four".