6821472768 has 360 divisors, whose sum is σ = 21386297856. Its totient is φ = 1930199040.

The previous prime is 6821472737. The next prime is 6821472769. The reversal of 6821472768 is 8672741286.

It is a Smith number, since the sum of its digits (51) 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 (51).

It is a self number, because there is not a number n which added to its sum of digits gives 6821472768.

It is not an unprimeable number, because it can be changed into a prime (6821472769) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53712321 + ... + 53712447.

Almost surely, 2^6821472768 is an apocalyptic number.

6821472768 is a gapful number since it is divisible by the number (68) 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 6821472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10693148928).

6821472768 is an abundant number, since it is smaller than the sum of its proper divisors (14564825088).

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

6821472768 is a wasteful number, since it uses less digits than its factorization.

6821472768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 160 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 6821472768 is about 82592.2076711841. The cubic root of 6821472768 is about 1896.5285428486.

The spelling of 6821472768 in words is "six billion, eight hundred twenty-one million, four hundred seventy-two thousand, seven hundred sixty-eight".