8400757456 has 240 divisors, whose sum is σ = 21145313280. Its totient is φ = 3162032640.

The previous prime is 8400757441. The next prime is 8400757457. The reversal of 8400757456 is 6547570048.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8400757457) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 60437035 + ... + 60437173.

It is an arithmetic number, because the mean of its divisors is an integer number (88105472).

Almost surely, 2^8400757456 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 8400757456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10572656640).

8400757456 is an abundant number, since it is smaller than the sum of its proper divisors (12744555824).

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

8400757456 is a wasteful number, since it uses less digits than its factorization.

8400757456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 46.

The square root of 8400757456 is about 91655.6460672227. The cubic root of 8400757456 is about 2032.8538130249.

The spelling of 8400757456 in words is "eight billion, four hundred million, seven hundred fifty-seven thousand, four hundred fifty-six".