68237694000 has 1920 divisors, whose sum is σ = 316757226240. Its totient is φ = 13934592000.

The previous prime is 68237693947. The next prime is 68237694011. The reversal of 68237694000 is 49673286.

68237694000 is a `hidden beast` number, since 6 + 8 + 237 + 6 + 9 + 400 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 1664333980 + ... + 1664334020.

It is an arithmetic number, because the mean of its divisors is an integer number (164977722).

Almost surely, 2^68237694000 is an apocalyptic number.

68237694000 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 68237694000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158378613120).

68237694000 is an abundant number, since it is smaller than the sum of its proper divisors (248519532240).

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

68237694000 is a wasteful number, since it uses less digits than its factorization.

68237694000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

It can be divided in two parts, 6823769 and 4000, that added together give a square (6827769 = 2613²).

The spelling of 68237694000 in words is "sixty-eight billion, two hundred thirty-seven million, six hundred ninety-four thousand".