68929056000 has 1440 divisors, whose sum is σ = 305573748480. Its totient is φ = 15095808000.

The previous prime is 68929055999. The next prime is 68929056011. The reversal of 68929056000 is 65092986.

68929056000 is a `hidden beast` number, since 6 + 89 + 2 + 9 + 0 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×68929056000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 526175935 + ... + 526176065.

It is an arithmetic number, because the mean of its divisors is an integer number (212203992).

Almost surely, 2^68929056000 is an apocalyptic number.

68929056000 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 68929056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152786874240).

68929056000 is an abundant number, since it is smaller than the sum of its proper divisors (236644692480).

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

68929056000 is a wasteful number, since it uses less digits than its factorization.

68929056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 68929056000 in words is "sixty-eight billion, nine hundred twenty-nine million, fifty-six thousand".