68167095040 has 576 divisors, whose sum is σ = 199312565760. Its totient is φ = 22047621120.

The previous prime is 68167094927. The next prime is 68167095047. The reversal of 68167095040 is 4059076186.

68167095040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (68167095047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380821671 + ... + 380821849.

It is an arithmetic number, because the mean of its divisors is an integer number (346028760).

Almost surely, 2^68167095040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68167095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99656282880).

68167095040 is an abundant number, since it is smaller than the sum of its proper divisors (131145470720).

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

68167095040 is a wasteful number, since it uses less digits than its factorization.

68167095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 68167095040 in words is "sixty-eight billion, one hundred sixty-seven million, ninety-five thousand, forty".