68147123040 has 384 divisors, whose sum is σ = 241904517120. Its totient is φ = 17916401664.

The previous prime is 68147123027. The next prime is 68147123081. The reversal of 68147123040 is 4032174186.

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

It is a junction number, because it is equal to n+sod(n) for n = 68147122986 and 68147123004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122346442 + ... + 122346998.

It is an arithmetic number, because the mean of its divisors is an integer number (629959680).

Almost surely, 2^68147123040 is an apocalyptic number.

68147123040 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 68147123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120952258560).

68147123040 is an abundant number, since it is smaller than the sum of its proper divisors (173757394080).

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

68147123040 is a wasteful number, since it uses less digits than its factorization.

68147123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 68147123040 in words is "sixty-eight billion, one hundred forty-seven million, one hundred twenty-three thousand, forty".