6768032000 has 72 divisors (see below), whose sum is σ = 16860093432. Its totient is φ = 2707200000.

The previous prime is 6768031981. The next prime is 6768032017. The reversal of 6768032000 is 2308676.

It can be written as a sum of positive squares in 4 ways, for example, as 1982464 + 6766049536 = 1408^2 + 82256^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73751 + ... + 137750.

Almost surely, 2^6768032000 is an apocalyptic number.

It is an amenable number.

6768032000 is an abundant number, since it is smaller than the sum of its proper divisors (10092061432).

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

6768032000 is an equidigital number, since it uses as much as digits as its factorization.

6768032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211532 (or 211508 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 6768032000 is about 82268.0496912380. The cubic root of 6768032000 is about 1891.5629597213.

The spelling of 6768032000 in words is "six billion, seven hundred sixty-eight million, thirty-two thousand".