68772188160 has 624 divisors, whose sum is σ = 266476689024. Its totient is φ = 16912613376.

The previous prime is 68772188143. The next prime is 68772188179. The reversal of 68772188160 is 6188127786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×68772188160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 68772188097 and 68772188106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64695789 + ... + 64696851.

It is an arithmetic number, because the mean of its divisors is an integer number (427045976).

Almost surely, 2^68772188160 is an apocalyptic number.

68772188160 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 68772188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133238344512).

68772188160 is an abundant number, since it is smaller than the sum of its proper divisors (197704500864).

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

68772188160 is a wasteful number, since it uses less digits than its factorization.

68772188160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 68772188160 in words is "sixty-eight billion, seven hundred seventy-two million, one hundred eighty-eight thousand, one hundred sixty".