7940456568 has 144 divisors (see below), whose sum is σ = 24514384440. Its totient is φ = 2406127680.

The previous prime is 7940456567. The next prime is 7940456617. The reversal of 7940456568 is 8656540497.

7940456568 is a `hidden beast` number, since 79 + 4 + 0 + 4 + 5 + 6 + 568 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7940456567) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 218346 + ... + 252102.

Almost surely, 2^7940456568 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 7940456568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257192220).

7940456568 is an abundant number, since it is smaller than the sum of its proper divisors (16573927872).

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

7940456568 is a wasteful number, since it uses less digits than its factorization.

7940456568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33800 (or 33773 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 7940456568 is about 89109.2395209386. The cubic root of 7940456568 is about 1995.0256856889.

The spelling of 7940456568 in words is "seven billion, nine hundred forty million, four hundred fifty-six thousand, five hundred sixty-eight".