6764808960 has 864 divisors, whose sum is σ = 29998725120. Its totient is φ = 1421328384.

The previous prime is 6764808959. The next prime is 6764808979. The reversal of 6764808960 is 698084676.

6764808960 is a `hidden beast` number, since 6 + 76 + 480 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6764808897 and 6764808906.

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, 28304521 + ... + 28304759.

Almost surely, 2^6764808960 is an apocalyptic number.

6764808960 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 6764808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999362560).

6764808960 is an abundant number, since it is smaller than the sum of its proper divisors (23233916160).

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

6764808960 is a wasteful number, since it uses less digits than its factorization.

6764808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 6764808960 is about 82248.4587089631. The cubic root of 6764808960 is about 1891.2626483408.

The spelling of 6764808960 in words is "six billion, seven hundred sixty-four million, eight hundred eight thousand, nine hundred sixty".