63406534752 has 384 divisors, whose sum is σ = 206023910400. Its totient is φ = 18811699200.

The previous prime is 63406534747. The next prime is 63406534753. The reversal of 63406534752 is 25743560436.

63406534752 is a `hidden beast` number, since 6 + 3 + 40 + 6 + 534 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 63406534698 and 63406534707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63406534753) 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, 100485477 + ... + 100486107.

It is an arithmetic number, because the mean of its divisors is an integer number (536520600).

Almost surely, 2^63406534752 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 63406534752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103011955200).

63406534752 is an abundant number, since it is smaller than the sum of its proper divisors (142617375648).

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

63406534752 is a wasteful number, since it uses less digits than its factorization.

63406534752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 63406534752 in words is "sixty-three billion, four hundred six million, five hundred thirty-four thousand, seven hundred fifty-two".