68600877120 has 672 divisors, whose sum is σ = 263559828480. Its totient is φ = 16303472640.

The previous prime is 68600877109. The next prime is 68600877133. The reversal of 68600877120 is 2177800686.

68600877120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 62763294 + ... + 62764386.

Almost surely, 2^68600877120 is an apocalyptic number.

68600877120 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 68600877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131779914240).

68600877120 is an abundant number, since it is smaller than the sum of its proper divisors (194958951360).

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

68600877120 is a wasteful number, since it uses less digits than its factorization.

68600877120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 68600877120 in words is "sixty-eight billion, six hundred million, eight hundred seventy-seven thousand, one hundred twenty".