60007746647664 has 120 divisors (see below), whose sum is σ = 168609319198320. Its totient is φ = 19922720338944.

The previous prime is 60007746647663. The next prime is 60007746647677. The reversal of 60007746647664 is 46674664770006.

60007746647664 is a `hidden beast` number, since 6 + 0 + 0 + 0 + 77 + 466 + 47 + 6 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60007746647663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104099467 + ... + 104674325.

It is an arithmetic number, because the mean of its divisors is an integer number (1405077659986).

Almost surely, 2^{60007746647664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60007746647664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84304659599160).

60007746647664 is an abundant number, since it is smaller than the sum of its proper divisors (108601572550656).

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

60007746647664 is a wasteful number, since it uses less digits than its factorization.

60007746647664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577767 (or 577758 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 63.

The spelling of 60007746647664 in words is "sixty trillion, seven billion, seven hundred forty-six million, six hundred forty-seven thousand, six hundred sixty-four".