60638830560 has 864 divisors, whose sum is σ = 263516198400. Its totient is φ = 12427683840.

The previous prime is 60638830513. The next prime is 60638830597. The reversal of 60638830560 is 6503883606.

60638830560 is a `hidden beast` number, since 6 + 0 + 6 + 3 + 8 + 83 + 0 + 560 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101233141 + ... + 101233739.

It is an arithmetic number, because the mean of its divisors is an integer number (304995600).

Almost surely, 2^60638830560 is an apocalyptic number.

60638830560 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 60638830560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131758099200).

60638830560 is an abundant number, since it is smaller than the sum of its proper divisors (202877367840).

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

60638830560 is a wasteful number, since it uses less digits than its factorization.

60638830560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

It can be divided in two parts, 60638 and 830560, that added together give a palindrome (891198).

The spelling of 60638830560 in words is "sixty billion, six hundred thirty-eight million, eight hundred thirty thousand, five hundred sixty".