7678183680 has 216 divisors, whose sum is σ = 26633912760. Its totient is φ = 2042265600.

The previous prime is 7678183621. The next prime is 7678183697. The reversal of 7678183680 is 863818767.

It can be written as a sum of positive squares in 4 ways, for example, as 246364416 + 7431819264 = 15696^2 + 86208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6922966 + ... + 6924074.

Almost surely, 2^7678183680 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 7678183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13316956380).

7678183680 is an abundant number, since it is smaller than the sum of its proper divisors (18955729080).

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

7678183680 is a wasteful number, since it uses less digits than its factorization.

7678183680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 7678183680 is about 87625.2456772590. The cubic root of 7678183680 is about 1972.8141114265.

It can be divided in two parts, 76781 and 83680, that added together give a triangular number (160461 = T₅₆₆).

The spelling of 7678183680 in words is "seven billion, six hundred seventy-eight million, one hundred eighty-three thousand, six hundred eighty".