7969574340 has 384 divisors, whose sum is σ = 30740075520. Its totient is φ = 1669165056.

The previous prime is 7969574311. The next prime is 7969574363. The reversal of 7969574340 is 434759697.

It is a happy number.

7969574340 is a `hidden beast` number, since 7 + 9 + 69 + 574 + 3 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7714464 + ... + 7715496.

It is an arithmetic number, because the mean of its divisors is an integer number (80052280).

Almost surely, 2^7969574340 is an apocalyptic number.

7969574340 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 7969574340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15370037760).

7969574340 is an abundant number, since it is smaller than the sum of its proper divisors (22770501180).

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

7969574340 is a wasteful number, since it uses less digits than its factorization.

7969574340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 7969574340 is about 89272.4724649206. The cubic root of 7969574340 is about 1997.4613072163.

The spelling of 7969574340 in words is "seven billion, nine hundred sixty-nine million, five hundred seventy-four thousand, three hundred forty".