63764118240 has 288 divisors, whose sum is σ = 209267362080. Its totient is φ = 16318955520.

The previous prime is 63764118163. The next prime is 63764118307. The reversal of 63764118240 is 4281146736.

63764118240 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 = 63764118192 and 63764118201.

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, 63194856 + ... + 63195864.

It is an arithmetic number, because the mean of its divisors is an integer number (726622785).

Almost surely, 2^63764118240 is an apocalyptic number.

63764118240 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 63764118240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104633681040).

63764118240 is an abundant number, since it is smaller than the sum of its proper divisors (145503243840).

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

63764118240 is a wasteful number, since it uses less digits than its factorization.

63764118240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 63764118240 in words is "sixty-three billion, seven hundred sixty-four million, one hundred eighteen thousand, two hundred forty".