6731366400 has 576 divisors, whose sum is σ = 26621889840. Its totient is φ = 1612185600.

The previous prime is 6731366353. The next prime is 6731366413. The reversal of 6731366400 is 46631376.

It is a happy number.

6731366400 is a `hidden beast` number, since 6 + 7 + 3 + 1 + 3 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6731366400² = 90622587222097920000, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 81100759 + ... + 81100841.

Almost surely, 2^6731366400 is an apocalyptic number.

6731366400 is a gapful number since it is divisible by the number (60) 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 6731366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13310944920).

6731366400 is an abundant number, since it is smaller than the sum of its proper divisors (19890523440).

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

6731366400 is a wasteful number, since it uses less digits than its factorization.

6731366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 6731366400 is about 82044.9047778105. The cubic root of 6731366400 is about 1888.1409451418.

Adding to 6731366400 its reverse (46631376), we get a palindrome (6777997776).

The spelling of 6731366400 in words is "six billion, seven hundred thirty-one million, three hundred sixty-six thousand, four hundred".