67930114129920 has 1280 divisors, whose sum is σ = 290439929767680. Its totient is φ = 14851334209536.

The previous prime is 67930114129919. The next prime is 67930114129961. The reversal of 67930114129920 is 2992141103976.

67930114129920 is a `hidden beast` number, since 6 + 7 + 9 + 301 + 1 + 41 + 299 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×67930114129920² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2136621544 + ... + 2136653336.

It is an arithmetic number, because the mean of its divisors is an integer number (226906195131).

Almost surely, 2^{67930114129920} is an apocalyptic number.

67930114129920 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 67930114129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145219964883840).

67930114129920 is an abundant number, since it is smaller than the sum of its proper divisors (222509815637760).

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

67930114129920 is an equidigital number, since it uses as much as digits as its factorization.

67930114129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31870 (or 31833 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 67930114129920 in words is "sixty-seven trillion, nine hundred thirty billion, one hundred fourteen million, one hundred twenty-nine thousand, nine hundred twenty".