68310038016 has 320 divisors, whose sum is σ = 221734022400. Its totient is φ = 20592230400.

The previous prime is 68310038011. The next prime is 68310038063. The reversal of 68310038016 is 61083001386.

68310038016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×68310038016² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68310038011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32084440 + ... + 32086568.

It is an arithmetic number, because the mean of its divisors is an integer number (692918820).

Almost surely, 2^68310038016 is an apocalyptic number.

68310038016 is a gapful number since it is divisible by the number (66) 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 68310038016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110867011200).

68310038016 is an abundant number, since it is smaller than the sum of its proper divisors (153423984384).

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

68310038016 is a wasteful number, since it uses less digits than its factorization.

68310038016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 68310038016 in words is "sixty-eight billion, three hundred ten million, thirty-eight thousand, sixteen".