63791919360 has 1440 divisors, whose sum is σ = 269246799360. Its totient is φ = 14284947456.

The previous prime is 63791919343. The next prime is 63791919361. The reversal of 63791919360 is 6391919736.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 63791919297 and 63791919306.

It is not an unprimeable number, because it can be changed into a prime (63791919361) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1203621094 + ... + 1203621146.

It is an arithmetic number, because the mean of its divisors is an integer number (186976944).

Almost surely, 2^63791919360 is an apocalyptic number.

63791919360 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 63791919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134623399680).

63791919360 is an abundant number, since it is smaller than the sum of its proper divisors (205454880000).

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

63791919360 is a wasteful number, since it uses less digits than its factorization.

63791919360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The spelling of 63791919360 in words is "sixty-three billion, seven hundred ninety-one million, nine hundred nineteen thousand, three hundred sixty".