68810742000 has 2560 divisors, whose sum is σ = 353577369600. Its totient is φ = 12317184000.

The previous prime is 68810741963. The next prime is 68810742023. The reversal of 68810742000 is 24701886.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1027025967 + ... + 1027026033.

It is an arithmetic number, because the mean of its divisors is an integer number (138116160).

Almost surely, 2^68810742000 is an apocalyptic number.

68810742000 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 68810742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176788684800).

68810742000 is an abundant number, since it is smaller than the sum of its proper divisors (284766627600).

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

68810742000 is a wasteful number, since it uses less digits than its factorization.

68810742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 68810742000 in words is "sixty-eight billion, eight hundred ten million, seven hundred forty-two thousand".