6814172304 has 75 divisors (see below), whose sum is σ = 19730796393. Its totient is φ = 2270400192.

The previous prime is 6814172291. The next prime is 6814172333. The reversal of 6814172304 is 4032714186.

The square root of 6814172304 is 82548.

It is a perfect power (a square), and thus also a powerful number.

6814172304 is a `hidden beast` number, since 6 + 8 + 1 + 417 + 230 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1976691600 + 4837480704 = 44460^2 + 69552^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2970582 + ... + 2972874.

Almost surely, 2^6814172304 is an apocalyptic number.

6814172304 is the 82548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6814172304

6814172304 is an abundant number, since it is smaller than the sum of its proper divisors (12916624089).

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

6814172304 is an frugal number, since it uses more digits than its factorization.

6814172304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The cubic root of 6814172304 is about 1895.8517349211.

Multiplying 6814172304 by its sum of digits (36), we get a square (245310202944 = 495288²).

6814172304 divided by its sum of digits (36) gives a square (189282564 = 13758²).

The spelling of 6814172304 in words is "six billion, eight hundred fourteen million, one hundred seventy-two thousand, three hundred four".