7087963680 has 864 divisors, whose sum is σ = 31460607360. Its totient is φ = 1439907840.

The previous prime is 7087963651. The next prime is 7087963691. The reversal of 7087963680 is 863697807.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 22790725 + ... + 22791035.

It is an arithmetic number, because the mean of its divisors is an integer number (36412740).

Almost surely, 2^7087963680 is an apocalyptic number.

7087963680 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 7087963680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15730303680).

7087963680 is an abundant number, since it is smaller than the sum of its proper divisors (24372643680).

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

7087963680 is a wasteful number, since it uses less digits than its factorization.

7087963680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 7087963680 is about 84190.0450172109. The cubic root of 7087963680 is about 1920.9106357351.

The spelling of 7087963680 in words is "seven billion, eighty-seven million, nine hundred sixty-three thousand, six hundred eighty".