6761863680 has 640 divisors, whose sum is σ = 26134327296. Its totient is φ = 1469644800.

The previous prime is 6761863673. The next prime is 6761863699. The reversal of 6761863680 is 863681676.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51617215 + ... + 51617345.

Almost surely, 2^6761863680 is an apocalyptic number.

6761863680 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 6761863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13067163648).

6761863680 is an abundant number, since it is smaller than the sum of its proper divisors (19372463616).

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

6761863680 is a wasteful number, since it uses less digits than its factorization.

6761863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 6761863680 is about 82230.5519864728. The cubic root of 6761863680 is about 1890.9881342249.

The spelling of 6761863680 in words is "six billion, seven hundred sixty-one million, eight hundred sixty-three thousand, six hundred eighty".