7969920000 has 440 divisors, whose sum is σ = 30388222656. Its totient is φ = 1818624000.

The previous prime is 7969919989. The next prime is 7969920001. The reversal of 7969920000 is 299697.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7969920001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13439704 + ... + 13440296.

Almost surely, 2^7969920000 is an apocalyptic number.

7969920000 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 7969920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15194111328).

7969920000 is an abundant number, since it is smaller than the sum of its proper divisors (22418302656).

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

7969920000 is an equidigital number, since it uses as much as digits as its factorization.

7969920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 7969920000 is about 89274.4084270515. The cubic root of 7969920000 is about 1997.4901850653.

It can be divided in two parts, 79699 and 20000, that added together give a palindrome (99699).

The spelling of 7969920000 in words is "seven billion, nine hundred sixty-nine million, nine hundred twenty thousand".