60982080768 has 288 divisors, whose sum is σ = 215061504000. Its totient is φ = 16665606144.

The previous prime is 60982080721. The next prime is 60982080773. The reversal of 60982080768 is 86708028906.

60982080768 is a `hidden beast` number, since 609 + 8 + 20 + 8 + 0 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085433 + ... + 1140231.

Almost surely, 2^60982080768 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 60982080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107530752000).

60982080768 is an abundant number, since it is smaller than the sum of its proper divisors (154079423232).

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

60982080768 is a wasteful number, since it uses less digits than its factorization.

60982080768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54854 (or 54834 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 60982080768 in words is "sixty billion, nine hundred eighty-two million, eighty thousand, seven hundred sixty-eight".