63780433920 has 312 divisors, whose sum is σ = 252666269856. Its totient is φ = 14578089984.

The previous prime is 63780433897. The next prime is 63780433957. The reversal of 63780433920 is 2933408736.

63780433920 is a `hidden beast` number, since 63 + 78 + 0 + 433 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1265524 + ... + 1314956.

It is an arithmetic number, because the mean of its divisors is an integer number (809827788).

Almost surely, 2^63780433920 is an apocalyptic number.

63780433920 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 63780433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126333134928).

63780433920 is an abundant number, since it is smaller than the sum of its proper divisors (188885835936).

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

63780433920 is a wasteful number, since it uses less digits than its factorization.

63780433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49475 (or 49450 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 63780433920 in words is "sixty-three billion, seven hundred eighty million, four hundred thirty-three thousand, nine hundred twenty".