68167636992 has 1536 divisors, whose sum is σ = 281788416000. Its totient is φ = 15765995520.

The previous prime is 68167636991. The next prime is 68167636997. The reversal of 68167636992 is 29963676186.

68167636992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68167636991) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2198956017 + ... + 2198956047.

It is an arithmetic number, because the mean of its divisors is an integer number (183456000).

Almost surely, 2^68167636992 is an apocalyptic number.

68167636992 is a gapful number since it is divisible by the number (62) 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 68167636992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140894208000).

68167636992 is an abundant number, since it is smaller than the sum of its proper divisors (213620779008).

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

68167636992 is a wasteful number, since it uses less digits than its factorization.

68167636992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 98 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 68167636992 in words is "sixty-eight billion, one hundred sixty-seven million, six hundred thirty-six thousand, nine hundred ninety-two".