63834365952 has 448 divisors, whose sum is σ = 219243859200. Its totient is φ = 18202558464.

The previous prime is 63834365941. The next prime is 63834365983. The reversal of 63834365952 is 25956343836.

63834365952 is a `hidden beast` number, since 6 + 3 + 8 + 3 + 43 + 6 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 31 ways as a sum of consecutive naturals, for example, 125411074 + ... + 125411582.

Almost surely, 2^63834365952 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 63834365952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109621929600).

63834365952 is an abundant number, since it is smaller than the sum of its proper divisors (155409493248).

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

63834365952 is an frugal number, since it uses more digits than its factorization.

63834365952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 521 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 63834365952 in words is "sixty-three billion, eight hundred thirty-four million, three hundred sixty-five thousand, nine hundred fifty-two".