7968240000 has 1280 divisors, whose sum is σ = 36708249600. Its totient is φ = 1658880000.

The previous prime is 7968239977. The next prime is 7968240019. The reversal of 7968240000 is 428697.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 257039985 + ... + 257040015.

It is an arithmetic number, because the mean of its divisors is an integer number (28678320).

Almost surely, 2^7968240000 is an apocalyptic number.

7968240000 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 7968240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18354124800).

7968240000 is an abundant number, since it is smaller than the sum of its proper divisors (28740009600).

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

7968240000 is a wasteful number, since it uses less digits than its factorization.

7968240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7968240000 is about 89264.9987397076. The cubic root of 7968240000 is about 1997.3498231658.

Adding to 7968240000 its reverse (428697), we get a palindrome (7968668697).

The spelling of 7968240000 in words is "seven billion, nine hundred sixty-eight million, two hundred forty thousand".