6768233472 has 704 divisors, whose sum is σ = 25354764288. Its totient is φ = 1548288000.

The previous prime is 6768233429. The next prime is 6768233509. The reversal of 6768233472 is 2743328676.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 95327197 + ... + 95327267.

Almost surely, 2^6768233472 is an apocalyptic number.

6768233472 is a gapful number since it is divisible by the number (62) 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 6768233472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12677382144).

6768233472 is an abundant number, since it is smaller than the sum of its proper divisors (18586530816).

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

6768233472 is a wasteful number, since it uses less digits than its factorization.

6768233472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 48.

The square root of 6768233472 is about 82269.2741672126. The cubic root of 6768233472 is about 1891.5817289978.

The spelling of 6768233472 in words is "six billion, seven hundred sixty-eight million, two hundred thirty-three thousand, four hundred seventy-two".