63735276864 has 336 divisors, whose sum is σ = 207961992000. Its totient is φ = 17128710144.

The previous prime is 63735276763. The next prime is 63735276893. The reversal of 63735276864 is 46867253736.

63735276864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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, 26632852 + ... + 26635244.

It is an arithmetic number, because the mean of its divisors is an integer number (618934500).

Almost surely, 2^63735276864 is an apocalyptic number.

63735276864 is a gapful number since it is divisible by the number (64) 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 63735276864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103980996000).

63735276864 is an abundant number, since it is smaller than the sum of its proper divisors (144226715136).

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

63735276864 is a wasteful number, since it uses less digits than its factorization.

63735276864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2573 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 57.

The spelling of 63735276864 in words is "sixty-three billion, seven hundred thirty-five million, two hundred seventy-six thousand, eight hundred sixty-four".