68972780160 has 384 divisors, whose sum is σ = 242923412160. Its totient is φ = 18028707840.

The previous prime is 68972780143. The next prime is 68972780161. The reversal of 68972780160 is 6108727986.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 68972780097 and 68972780106.

It is not an unprimeable number, because it can be changed into a prime (68972780161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120792675 + ... + 120793245.

Almost surely, 2^68972780160 is an apocalyptic number.

68972780160 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 68972780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121461706080).

68972780160 is an abundant number, since it is smaller than the sum of its proper divisors (173950632000).

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

68972780160 is a wasteful number, since it uses less digits than its factorization.

68972780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 68972780160 in words is "sixty-eight billion, nine hundred seventy-two million, seven hundred eighty thousand, one hundred sixty".