68167008000 has 2160 divisors, whose sum is σ = 331655548224. Its totient is φ = 13536460800.

The previous prime is 68167007981. The next prime is 68167008037. The reversal of 68167008000 is 80076186.

It is a tau number, because it is divible by the number of its divisors (2160).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4009823992 + ... + 4009824008.

Almost surely, 2^68167008000 is an apocalyptic number.

68167008000 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 68167008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165827774112).

68167008000 is an abundant number, since it is smaller than the sum of its proper divisors (263488540224).

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

68167008000 is a wasteful number, since it uses less digits than its factorization.

68167008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 68167008000 in words is "sixty-eight billion, one hundred sixty-seven million, eight thousand".