60807413760 has 256 divisors, whose sum is σ = 195894076320. Its totient is φ = 16106127360.

The previous prime is 60807413717. The next prime is 60807413791. The reversal of 60807413760 is 6731470806.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-3 number, since 3×60807413760³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 94863040 + ... + 94863680.

Almost surely, 2^60807413760 is an apocalyptic number.

60807413760 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 60807413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97947038160).

60807413760 is an abundant number, since it is smaller than the sum of its proper divisors (135086662560).

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

60807413760 is an equidigital number, since it uses as much as digits as its factorization.

60807413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 60807413760 in words is "sixty billion, eight hundred seven million, four hundred thirteen thousand, seven hundred sixty".