60390645564960 has 576 divisors, whose sum is σ = 215208007056000. Its totient is φ = 15816583563264.

The previous prime is 60390645564937. The next prime is 60390645565031. The reversal of 60390645564960 is 6946554609306.

It is a happy number.

60390645564960 is a `hidden beast` number, since 6 + 0 + 3 + 9 + 0 + 6 + 4 + 5 + 564 + 9 + 60 = 666.

It is a super-3 number, since 3×60390645564960³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6767971059 + ... + 6767979981.

It is an arithmetic number, because the mean of its divisors is an integer number (373625012250).

Almost surely, 2^{60390645564960} is an apocalyptic number.

60390645564960 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 60390645564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107604003528000).

60390645564960 is an abundant number, since it is smaller than the sum of its proper divisors (154817361491040).

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

60390645564960 is a wasteful number, since it uses less digits than its factorization.

60390645564960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9430 (or 9349 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 63.

The spelling of 60390645564960 in words is "sixty trillion, three hundred ninety billion, six hundred forty-five million, five hundred sixty-four thousand, nine hundred sixty".