7968141720 has 960 divisors, whose sum is σ = 36025862400. Its totient is φ = 1530316800.

The previous prime is 7968141683. The next prime is 7968141743. The reversal of 7968141720 is 271418697.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 194344900 + ... + 194344940.

It is an arithmetic number, because the mean of its divisors is an integer number (37526940).

Almost surely, 2^7968141720 is an apocalyptic number.

7968141720 is a gapful number since it is divisible by the number (70) 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 7968141720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18012931200).

7968141720 is an abundant number, since it is smaller than the sum of its proper divisors (28057720680).

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

7968141720 is a wasteful number, since it uses less digits than its factorization.

7968141720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 7968141720 is about 89264.4482422874. The cubic root of 7968141720 is about 1997.3416113839.

The spelling of 7968141720 in words is "seven billion, nine hundred sixty-eight million, one hundred forty-one thousand, seven hundred twenty".