63416811840 has 112 divisors (see below), whose sum is σ = 201508278720. Its totient is φ = 16897720320.

The previous prime is 63416811839. The next prime is 63416811853. The reversal of 63416811840 is 4811861436.

63416811840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 63416811792 and 63416811801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1213776 + ... + 1264944.

It is an arithmetic number, because the mean of its divisors is an integer number (1799181060).

Almost surely, 2^63416811840 is an apocalyptic number.

63416811840 is a gapful number since it is divisible by the number (60) 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 63416811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100754139360).

63416811840 is an abundant number, since it is smaller than the sum of its proper divisors (138091466880).

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

63416811840 is a wasteful number, since it uses less digits than its factorization.

63416811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52480 (or 52470 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 63416811840 in words is "sixty-three billion, four hundred sixteen million, eight hundred eleven thousand, eight hundred forty".