7940325456 has 320 divisors, whose sum is σ = 27733224960. Its totient is φ = 2123366400.

The previous prime is 7940325451. The next prime is 7940325469. The reversal of 7940325456 is 6545230497.

7940325456 is a `hidden beast` number, since 79 + 4 + 0 + 32 + 545 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7940325451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13211556 + ... + 13212156.

It is an arithmetic number, because the mean of its divisors is an integer number (86666328).

Almost surely, 2^7940325456 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 7940325456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13866612480).

7940325456 is an abundant number, since it is smaller than the sum of its proper divisors (19792899504).

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

7940325456 is a wasteful number, since it uses less digits than its factorization.

7940325456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 7940325456 is about 89108.5038366148. The cubic root of 7940325456 is about 1995.0147050756.

The spelling of 7940325456 in words is "seven billion, nine hundred forty million, three hundred twenty-five thousand, four hundred fifty-six".