68801267072 has 128 divisors (see below), whose sum is σ = 144015252480. Its totient is φ = 32701593600.

The previous prime is 68801267071. The next prime is 68801267077. The reversal of 68801267072 is 27076210886.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×68801267072² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68801267071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55618838 + ... + 55620074.

It is an arithmetic number, because the mean of its divisors is an integer number (1125119160).

Almost surely, 2^68801267072 is an apocalyptic number.

68801267072 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 68801267072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72007626240).

68801267072 is an abundant number, since it is smaller than the sum of its proper divisors (75213985408).

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

68801267072 is a wasteful number, since it uses less digits than its factorization.

68801267072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The spelling of 68801267072 in words is "sixty-eight billion, eight hundred one million, two hundred sixty-seven thousand, seventy-two".