7104991680 has 448 divisors, whose sum is σ = 26545397760. Its totient is φ = 1786060800.

The previous prime is 7104991657. The next prime is 7104991681. The reversal of 7104991680 is 861994017.

It is a happy number.

7104991680 is a `hidden beast` number, since 71 + 0 + 499 + 16 + 80 = 666.

It is a super-4 number, since 4×7104991680⁴ (a number of 41 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7104991681) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10981117 + ... + 10981763.

It is an arithmetic number, because the mean of its divisors is an integer number (59253120).

Almost surely, 2^7104991680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7104991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13272698880).

7104991680 is an abundant number, since it is smaller than the sum of its proper divisors (19440406080).

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

7104991680 is a wasteful number, since it uses less digits than its factorization.

7104991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 7104991680 is about 84291.1126987893. The cubic root of 7104991680 is about 1922.4476595920.

The spelling of 7104991680 in words is "seven billion, one hundred four million, nine hundred ninety-one thousand, six hundred eighty".