7087711680 has 224 divisors, whose sum is σ = 28576097280. Its totient is φ = 1620034560.

The previous prime is 7087711667. The next prime is 7087711681. The reversal of 7087711680 is 861177807.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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 (7087711681) 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 31 ways as a sum of consecutive naturals, for example, 1885 + ... + 119075.

Almost surely, 2^7087711680 is an apocalyptic number.

7087711680 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 7087711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14288048640).

7087711680 is an abundant number, since it is smaller than the sum of its proper divisors (21488385600).

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

7087711680 is a wasteful number, since it uses less digits than its factorization.

7087711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117224 (or 117208 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The square root of 7087711680 is about 84188.5483899087. The cubic root of 7087711680 is about 1920.8878706064.

The spelling of 7087711680 in words is "seven billion, eighty-seven million, seven hundred eleven thousand, six hundred eighty".