68720001024 has 80 divisors (see below), whose sum is σ = 183257355600. Its totient is φ = 22906142720.

The previous prime is 68720001023. The next prime is 68720001071. The reversal of 68720001024 is 42010002786.

It is a Cunningham number, because it is equal to 262145²-1.

It is a super-2 number, since 2×68720001024² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68720000982 and 68720001000.

It is not an unprimeable number, because it can be changed into a prime (68720001023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1551019 + ... + 1594709.

It is an arithmetic number, because the mean of its divisors is an integer number (2290716945).

Almost surely, 2^68720001024 is an apocalyptic number.

68720001024 is a gapful number since it is divisible by the number (64) 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 68720001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91628677800).

68720001024 is an abundant number, since it is smaller than the sum of its proper divisors (114537354576).

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

68720001024 is an frugal number, since it uses more digits than its factorization.

68720001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43732 (or 43696 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 68720001024 in words is "sixty-eight billion, seven hundred twenty million, one thousand, twenty-four".