7945464384 has 336 divisors, whose sum is σ = 28169494080. Its totient is φ = 2105118720.

The previous prime is 7945464367. The next prime is 7945464389. The reversal of 7945464384 is 4834645497.

7945464384 is a `hidden beast` number, since 7 + 94 + 546 + 4 + 3 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7945464384.

It is not an unprimeable number, because it can be changed into a prime (7945464389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1562454 + ... + 1567530.

It is an arithmetic number, because the mean of its divisors is an integer number (83837780).

Almost surely, 2^7945464384 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 7945464384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14084747040).

7945464384 is an abundant number, since it is smaller than the sum of its proper divisors (20224029696).

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

7945464384 is a wasteful number, since it uses less digits than its factorization.

7945464384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138 (or 5125 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 7945464384 is about 89137.3344003510. The cubic root of 7945464384 is about 1995.4449991928. Note that the first 3 decimals are identical.

The spelling of 7945464384 in words is "seven billion, nine hundred forty-five million, four hundred sixty-four thousand, three hundred eighty-four".