7969389120 has 840 divisors, whose sum is σ = 35736093120. Its totient is φ = 1655976960.

The previous prime is 7969389101. The next prime is 7969389121. The reversal of 7969389120 is 219839697.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×7969389120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7969389121) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 724489915 + ... + 724489925.

It is an arithmetic number, because the mean of its divisors is an integer number (42542968).

Almost surely, 2^7969389120 is an apocalyptic number.

7969389120 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 7969389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17868046560).

7969389120 is an abundant number, since it is smaller than the sum of its proper divisors (27766704000).

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

7969389120 is an frugal number, since it uses more digits than its factorization.

7969389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 7969389120 is about 89271.4350730400. The cubic root of 7969389120 is about 1997.4458328370.

The spelling of 7969389120 in words is "seven billion, nine hundred sixty-nine million, three hundred eighty-nine thousand, one hundred twenty".