63158538240 has 1248 divisors, whose sum is σ = 271914988800. Its totient is φ = 14046068736.

The previous prime is 63158538217. The next prime is 63158538251. The reversal of 63158538240 is 4283585136.

63158538240 is a `hidden beast` number, since 6 + 31 + 585 + 38 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×63158538240² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1706987502 + ... + 1706987538.

It is an arithmetic number, because the mean of its divisors is an integer number (217880600).

Almost surely, 2^63158538240 is an apocalyptic number.

63158538240 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 63158538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135957494400).

63158538240 is an abundant number, since it is smaller than the sum of its proper divisors (208756450560).

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

63158538240 is an frugal number, since it uses more digits than its factorization.

63158538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 63158538240 in words is "sixty-three billion, one hundred fifty-eight million, five hundred thirty-eight thousand, two hundred forty".