7945297920 has 336 divisors, whose sum is σ = 31486815360. Its totient is φ = 1815478272.

The previous prime is 7945297907. The next prime is 7945297933. The reversal of 7945297920 is 297925497.

7945297920 is a `hidden beast` number, since 7 + 94 + 529 + 7 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (7945297907) and next prime (7945297933).

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2578941 + ... + 2582019.

It is an arithmetic number, because the mean of its divisors is an integer number (93710760).

Almost surely, 2^7945297920 is an apocalyptic number.

7945297920 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 7945297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15743407680).

7945297920 is an abundant number, since it is smaller than the sum of its proper divisors (23541517440).

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

7945297920 is a wasteful number, since it uses less digits than its factorization.

7945297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 7945297920 is about 89136.4006453032. The cubic root of 7945297920 is about 1995.4310636920.

The spelling of 7945297920 in words is "seven billion, nine hundred forty-five million, two hundred ninety-seven thousand, nine hundred twenty".