7984107040 has 576 divisors, whose sum is σ = 25808025600. Its totient is φ = 2316625920.

The previous prime is 7984107029. The next prime is 7984107083. The reversal of 7984107040 is 407014897.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 7984106984 and 7984107002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 257551825 + ... + 257551855.

It is an arithmetic number, because the mean of its divisors is an integer number (44805600).

Almost surely, 2^7984107040 is an apocalyptic number.

7984107040 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 7984107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12904012800).

7984107040 is an abundant number, since it is smaller than the sum of its proper divisors (17823918560).

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

7984107040 is a wasteful number, since it uses less digits than its factorization.

7984107040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 7984107040 is about 89353.8305838088. The cubic root of 7984107040 is about 1998.6747086621.

The spelling of 7984107040 in words is "seven billion, nine hundred eighty-four million, one hundred seven thousand, forty".