7947112440 has 256 divisors, whose sum is σ = 25277184000. Its totient is φ = 1996001280.

The previous prime is 7947112429. The next prime is 7947112441. The reversal of 7947112440 is 442117497.

It is a super-2 number, since 2×7947112440² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7947112441) 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, 37663935 + ... + 37664145.

It is an arithmetic number, because the mean of its divisors is an integer number (98739000).

Almost surely, 2^7947112440 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 7947112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12638592000).

7947112440 is an abundant number, since it is smaller than the sum of its proper divisors (17330071560).

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

7947112440 is a wasteful number, since it uses less digits than its factorization.

7947112440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 7947112440 is about 89146.5783976031. The cubic root of 7947112440 is about 1995.5829553732.

The spelling of 7947112440 in words is "seven billion, nine hundred forty-seven million, one hundred twelve thousand, four hundred forty".