63842549760 has 672 divisors, whose sum is σ = 253671384960. Its totient is φ = 15099494400.

The previous prime is 63842549723. The next prime is 63842549761. The reversal of 63842549760 is 6794524836.

63842549760 is a `hidden beast` number, since 6 + 38 + 4 + 2 + 549 + 7 + 60 = 666.

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 63842549697 and 63842549706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63842549761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1557135340 + ... + 1557135380.

It is an arithmetic number, because the mean of its divisors is an integer number (377487180).

Almost surely, 2^63842549760 is an apocalyptic number.

63842549760 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 63842549760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126835692480).

63842549760 is an abundant number, since it is smaller than the sum of its proper divisors (189828835200).

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

63842549760 is an frugal number, since it uses more digits than its factorization.

63842549760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 63842549760 in words is "sixty-three billion, eight hundred forty-two million, five hundred forty-nine thousand, seven hundred sixty".