68074137000 has 192 divisors, whose sum is σ = 243625870800. Its totient is φ = 17085235200.

The previous prime is 68074136989. The next prime is 68074137011. The reversal of 68074137000 is 73147086.

It is an interprime number because it is at equal distance from previous prime (68074136989) and next prime (68074137011).

It can be written as a sum of positive squares in 8 ways, for example, as 24424063524 + 43650073476 = 156282^2 + 208926^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69465 + ... + 375464.

Almost surely, 2^68074137000 is an apocalyptic number.

68074137000 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 68074137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121812935400).

68074137000 is an abundant number, since it is smaller than the sum of its proper divisors (175551733800).

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

68074137000 is a wasteful number, since it uses less digits than its factorization.

68074137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444973 (or 444956 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 68074137000 in words is "sixty-eight billion, seventy-four million, one hundred thirty-seven thousand".