7104464640 has 864 divisors, whose sum is σ = 31498661376. Its totient is φ = 1492992000.

The previous prime is 7104464623. The next prime is 7104464651. The reversal of 7104464640 is 464644017.

7104464640 is a `hidden beast` number, since 7 + 1 + 0 + 4 + 4 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 7104464595 and 7104464604.

It is a congruent number.

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, 28304515 + ... + 28304765.

It is an arithmetic number, because the mean of its divisors is an integer number (36456784).

Almost surely, 2^7104464640 is an apocalyptic number.

7104464640 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 7104464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15749330688).

7104464640 is an abundant number, since it is smaller than the sum of its proper divisors (24394196736).

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

7104464640 is a wasteful number, since it uses less digits than its factorization.

7104464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 7104464640 is about 84287.9863325729. The cubic root of 7104464640 is about 1922.4001234412.

The spelling of 7104464640 in words is "seven billion, one hundred four million, four hundred sixty-four thousand, six hundred forty".