7940827440 has 640 divisors, whose sum is σ = 34197811200. Its totient is φ = 1648926720.

The previous prime is 7940827429. The next prime is 7940827459. The reversal of 7940827440 is 447280497.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 13955476 + ... + 13956044.

It is an arithmetic number, because the mean of its divisors is an integer number (53434080).

Almost surely, 2^7940827440 is an apocalyptic number.

7940827440 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 7940827440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17098905600).

7940827440 is an abundant number, since it is smaller than the sum of its proper divisors (26256983760).

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

7940827440 is a wasteful number, since it uses less digits than its factorization.

7940827440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 7940827440 is about 89111.3204929654. The cubic root of 7940827440 is about 1995.0567455169.

The spelling of 7940827440 in words is "seven billion, nine hundred forty million, eight hundred twenty-seven thousand, four hundred forty".