7945491456 has 528 divisors, whose sum is σ = 28203402240. Its totient is φ = 2105671680.

The previous prime is 7945491443. The next prime is 7945491461. The reversal of 7945491456 is 6541945497.

7945491456 is a `hidden beast` number, since 7 + 94 + 549 + 1 + 4 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57996220 + ... + 57996356.

Almost surely, 2^7945491456 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 7945491456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14101701120).

7945491456 is an abundant number, since it is smaller than the sum of its proper divisors (20257910784).

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

7945491456 is a wasteful number, since it uses less digits than its factorization.

7945491456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 7945491456 is about 89137.4862557835. The cubic root of 7945491456 is about 1995.4472655015.

The spelling of 7945491456 in words is "seven billion, nine hundred forty-five million, four hundred ninety-one thousand, four hundred fifty-six".