60113767680 has 432 divisors, whose sum is σ = 217240767744. Its totient is φ = 15915294720.

The previous prime is 60113767673. The next prime is 60113767697. The reversal of 60113767680 is 8676731106.

60113767680 is a `hidden beast` number, since 601 + 1 + 37 + 6 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×60113767680² (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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48832665 + ... + 48833895.

Almost surely, 2^60113767680 is an apocalyptic number.

60113767680 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 60113767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108620383872).

60113767680 is an abundant number, since it is smaller than the sum of its proper divisors (157127000064).

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

60113767680 is a wasteful number, since it uses less digits than its factorization.

60113767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 60113767680 in words is "sixty billion, one hundred thirteen million, seven hundred sixty-seven thousand, six hundred eighty".