7997143440 has 320 divisors, whose sum is σ = 29808092160. Its totient is φ = 1747630080.

The previous prime is 7997143423. The next prime is 7997143471. The reversal of 7997143440 is 443417997.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7997143440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1473051 + ... + 1478469.

It is an arithmetic number, because the mean of its divisors is an integer number (93150288).

Almost surely, 2^7997143440 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 7997143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14904046080).

7997143440 is an abundant number, since it is smaller than the sum of its proper divisors (21810948720).

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

7997143440 is a wasteful number, since it uses less digits than its factorization.

7997143440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 7997143440 is about 89426.7490184005. The cubic root of 7997143440 is about 1999.7619249946.

The spelling of 7997143440 in words is "seven billion, nine hundred ninety-seven million, one hundred forty-three thousand, four hundred forty".