6696374400 has 144 divisors (see below), whose sum is σ = 23894301210. Its totient is φ = 1785692160.

The previous prime is 6696374393. The next prime is 6696374453. The reversal of 6696374400 is 44736966.

6696374400 is a `hidden beast` number, since 6 + 6 + 9 + 637 + 4 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3890765376 + 2805609024 = 62376^2 + 52968^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 87457 + ... + 145056.

Almost surely, 2^6696374400 is an apocalyptic number.

6696374400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6696374400 is an abundant number, since it is smaller than the sum of its proper divisors (17197926810).

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

6696374400 is a wasteful number, since it uses less digits than its factorization.

6696374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232543 (or 232523 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 6696374400 is about 81831.3778449318. The cubic root of 6696374400 is about 1884.8635201982.

The spelling of 6696374400 in words is "six billion, six hundred ninety-six million, three hundred seventy-four thousand, four hundred".