6678515760 has 480 divisors, whose sum is σ = 25257526272. Its totient is φ = 1454100480.

The previous prime is 6678515749. The next prime is 6678515771. The reversal of 6678515760 is 675158766.

It is an interprime number because it is at equal distance from previous prime (6678515749) and next prime (6678515771).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23766820 + ... + 23767100.

Almost surely, 2^6678515760 is an apocalyptic number.

6678515760 is a gapful number since it is divisible by the number (60) 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 6678515760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12628763136).

6678515760 is an abundant number, since it is smaller than the sum of its proper divisors (18579010512).

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

6678515760 is a wasteful number, since it uses less digits than its factorization.

6678515760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The square root of 6678515760 is about 81722.1864612053. The cubic root of 6678515760 is about 1883.1864401752.

The spelling of 6678515760 in words is "six billion, six hundred seventy-eight million, five hundred fifteen thousand, seven hundred sixty".