68851823040 has 1792 divisors, whose sum is σ = 344107008000. Its totient is φ = 12481413120.

The previous prime is 68851823039. The next prime is 68851823057. The reversal of 68851823040 is 4032815886.

68851823040 is a `hidden beast` number, since 68 + 8 + 518 + 2 + 30 + 40 = 666.

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 255 ways as a sum of consecutive naturals, for example, 164323951 + ... + 164324369.

It is an arithmetic number, because the mean of its divisors is an integer number (192024000).

Almost surely, 2^68851823040 is an apocalyptic number.

68851823040 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 68851823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172053504000).

68851823040 is an abundant number, since it is smaller than the sum of its proper divisors (275255184960).

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

68851823040 is a wasteful number, since it uses less digits than its factorization.

68851823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 68851823040 in words is "sixty-eight billion, eight hundred fifty-one million, eight hundred twenty-three thousand, forty".