7957459440 has 400 divisors, whose sum is σ = 32610293760. Its totient is φ = 1759864320.

The previous prime is 7957459429. The next prime is 7957459459. The reversal of 7957459440 is 449547597.

7957459440 is a `hidden beast` number, since 7 + 9 + 5 + 7 + 4 + 594 + 40 = 666.

It is a super-2 number, since 2×7957459440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1403331 + ... + 1408989.

Almost surely, 2^7957459440 is an apocalyptic number.

7957459440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7957459440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16305146880).

7957459440 is an abundant number, since it is smaller than the sum of its proper divisors (24652834320).

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

7957459440 is a wasteful number, since it uses less digits than its factorization.

7957459440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 5707 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 7957459440 is about 89204.5931552855. The cubic root of 7957459440 is about 1996.4486510261.

The spelling of 7957459440 in words is "seven billion, nine hundred fifty-seven million, four hundred fifty-nine thousand, four hundred forty".