68641431072 has 96 divisors (see below), whose sum is σ = 186187921920. Its totient is φ = 22119567360.

The previous prime is 68641431059. The next prime is 68641431113. The reversal of 68641431072 is 27013414686.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×68641431072² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3003304 + ... + 3026072.

It is an arithmetic number, because the mean of its divisors is an integer number (1939457520).

Almost surely, 2^68641431072 is an apocalyptic number.

68641431072 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 68641431072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93093960960).

68641431072 is an abundant number, since it is smaller than the sum of its proper divisors (117546490848).

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

68641431072 is a wasteful number, since it uses less digits than its factorization.

68641431072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23826 (or 23818 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 68641431072 in words is "sixty-eight billion, six hundred forty-one million, four hundred thirty-one thousand, seventy-two".