6705730400 has 72 divisors (see below), whose sum is σ = 16769723544. Its totient is φ = 2616857600.

The previous prime is 6705730391. The next prime is 6705730453. The reversal of 6705730400 is 40375076.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69422 + ... + 135021.

It is an arithmetic number, because the mean of its divisors is an integer number (232912827).

Almost surely, 2^6705730400 is an apocalyptic number.

It is an amenable number.

6705730400 is an abundant number, since it is smaller than the sum of its proper divisors (10063993144).

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

6705730400 is a wasteful number, since it uses less digits than its factorization.

6705730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204504 (or 204491 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 6705730400 is about 81888.5242265362. The cubic root of 6705730400 is about 1885.7409391047.

The spelling of 6705730400 in words is "six billion, seven hundred five million, seven hundred thirty thousand, four hundred".