7969425408 has 240 divisors, whose sum is σ = 27208621440. Its totient is φ = 2276646912.

The previous prime is 7969425397. The next prime is 7969425433. The reversal of 7969425408 is 8045249697.

7969425408 is a `hidden beast` number, since 7 + 9 + 6 + 94 + 2 + 540 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1157785 + ... + 1164647.

It is an arithmetic number, because the mean of its divisors is an integer number (113369256).

Almost surely, 2^7969425408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7969425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13604310720).

7969425408 is an abundant number, since it is smaller than the sum of its proper divisors (19239196032).

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

7969425408 is an equidigital number, since it uses as much as digits as its factorization.

7969425408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6904 (or 6875 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 7969425408 is about 89271.6383181131. The cubic root of 7969425408 is about 1997.4488645710.

The spelling of 7969425408 in words is "seven billion, nine hundred sixty-nine million, four hundred twenty-five thousand, four hundred eight".