7087735680 has 256 divisors, whose sum is σ = 24038380800. Its totient is φ = 1771241472.

The previous prime is 7087735679. The next prime is 7087735687. The reversal of 7087735680 is 865377807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7087735687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3537559 + ... + 3539561.

It is an arithmetic number, because the mean of its divisors is an integer number (93899925).

Almost surely, 2^7087735680 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 7087735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12019190400).

7087735680 is an abundant number, since it is smaller than the sum of its proper divisors (16950645120).

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

7087735680 is a wasteful number, since it uses less digits than its factorization.

7087735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The square root of 7087735680 is about 84188.6909269885. The cubic root of 7087735680 is about 1920.8900387371.

The spelling of 7087735680 in words is "seven billion, eighty-seven million, seven hundred thirty-five thousand, six hundred eighty".