6784936704 has 864 divisors, whose sum is σ = 26619747840. Its totient is φ = 1686085632.

The previous prime is 6784936699. The next prime is 6784936721. The reversal of 6784936704 is 4076394876.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101267679 + ... + 101267745.

Almost surely, 2^6784936704 is an apocalyptic number.

6784936704 is a gapful number since it is divisible by the number (64) 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 6784936704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13309873920).

6784936704 is an abundant number, since it is smaller than the sum of its proper divisors (19834811136).

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

6784936704 is a wasteful number, since it uses less digits than its factorization.

6784936704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 6784936704 is about 82370.7272275776. The cubic root of 6784936704 is about 1893.1365203517.

The spelling of 6784936704 in words is "six billion, seven hundred eighty-four million, nine hundred thirty-six thousand, seven hundred four".