7957093440 has 224 divisors, whose sum is σ = 27120372480. Its totient is φ = 1969422336.

The previous prime is 7957093439. The next prime is 7957093447. The reversal of 7957093440 is 443907597.

It is a happy number.

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 7957093440.

It is not an unprimeable number, because it can be changed into a prime (7957093447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188021 + ... + 1194699.

Almost surely, 2^7957093440 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 7957093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13560186240).

7957093440 is an abundant number, since it is smaller than the sum of its proper divisors (19163279040).

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

7957093440 is a wasteful number, since it uses less digits than its factorization.

7957093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6789 (or 6779 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 7957093440 is about 89202.5416678247. The cubic root of 7957093440 is about 1996.4180419514.

The spelling of 7957093440 in words is "seven billion, nine hundred fifty-seven million, ninety-three thousand, four hundred forty".