60713452800 has 2268 divisors, whose sum is σ = 304176093984. Its totient is φ = 11645337600.

The previous prime is 60713452783. The next prime is 60713452883. The reversal of 60713452800 is 825431706.

60713452800 is a `hidden beast` number, since 60 + 71 + 3 + 4 + 528 + 0 + 0 = 666.

It is a Cunningham number, because it is equal to 246401²-1.

It is a tau number, because it is divible by the number of its divisors (2268).

It is a super-2 number, since 2×60713452800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 4670265594 + ... + 4670265606.

Almost surely, 2^60713452800 is an apocalyptic number.

60713452800 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 60713452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152088046992).

60713452800 is an abundant number, since it is smaller than the sum of its proper divisors (243462641184).

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

60713452800 is a wasteful number, since it uses less digits than its factorization.

60713452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 60713452800 in words is "sixty billion, seven hundred thirteen million, four hundred fifty-two thousand, eight hundred".