7440805008 has 360 divisors, whose sum is σ = 26620439040. Its totient is φ = 1897758720.

The previous prime is 7440804979. The next prime is 7440805013. The reversal of 7440805008 is 8005080447.

7440805008 is a `hidden beast` number, since 74 + 4 + 0 + 80 + 500 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5280208 + ... + 5281616.

It is an arithmetic number, because the mean of its divisors is an integer number (73945664).

Almost surely, 2^7440805008 is an apocalyptic number.

7440805008 is a gapful number since it is divisible by the number (78) 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 7440805008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13310219520).

7440805008 is an abundant number, since it is smaller than the sum of its proper divisors (19179634032).

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

7440805008 is a wasteful number, since it uses less digits than its factorization.

7440805008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 7440805008 is about 86260.1009041840. The cubic root of 7440805008 is about 1952.2704221450.

The spelling of 7440805008 in words is "seven billion, four hundred forty million, eight hundred five thousand, eight".