6710886400 has 87 divisors (see below), whose sum is σ = 16642998241. Its totient is φ = 2684354560.

The previous prime is 6710886373. The next prime is 6710886407. The reversal of 6710886400 is 46880176.

The square root of 6710886400 is 81920.

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

It can be written as a sum of positive squares in only one way, i.e., 2415919104 + 4294967296 = 49152^2 + 65536^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (6710886407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1342177278 + ... + 1342177282.

Almost surely, 2^6710886400 is an apocalyptic number.

6710886400 is the 81920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6710886400

6710886400 is an abundant number, since it is smaller than the sum of its proper divisors (9932111841).

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

6710886400 is an frugal number, since it uses more digits than its factorization.

6710886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The cubic root of 6710886400 is about 1886.2241273039.

The spelling of 6710886400 in words is "six billion, seven hundred ten million, eight hundred eighty-six thousand, four hundred".