68057870929920 has 624 divisors, whose sum is σ = 238807192216320. Its totient is φ = 17926251872256.

The previous prime is 68057870929907. The next prime is 68057870929927. The reversal of 68057870929920 is 2992907875086.

68057870929920 is a `hidden beast` number, since 6 + 8 + 0 + 578 + 7 + 0 + 9 + 29 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (68057870929927) 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, 9779831401 + ... + 9779838359.

It is an arithmetic number, because the mean of its divisors is an integer number (382703833680).

Almost surely, 2^{68057870929920} is an apocalyptic number.

68057870929920 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 68057870929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119403596108160).

68057870929920 is an abundant number, since it is smaller than the sum of its proper divisors (170749321286400).

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

68057870929920 is a wasteful number, since it uses less digits than its factorization.

68057870929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638 (or 7613 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 68057870929920 in words is "sixty-eight trillion, fifty-seven billion, eight hundred seventy million, nine hundred twenty-nine thousand, nine hundred twenty".