6710400000 has 396 divisors, whose sum is σ = 24322560444. Its totient is φ = 1781760000.

The previous prime is 6710399999. The next prime is 6710400007. The reversal of 6710400000 is 40176.

It can be written as a sum of positive squares in 6 ways, for example, as 6227103744 + 483296256 = 78912^2 + 21984^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6710400007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28799884 + ... + 28800116.

Almost surely, 2^6710400000 is an apocalyptic number.

6710400000 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 6710400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12161280222).

6710400000 is an abundant number, since it is smaller than the sum of its proper divisors (17612160444).

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

6710400000 is an equidigital number, since it uses as much as digits as its factorization.

6710400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 6710400000 is about 81917.0311962049. The cubic root of 6710400000 is about 1886.1785555007.

Adding to 6710400000 its reverse (40176), we get a palindrome (6710440176).

The spelling of 6710400000 in words is "six billion, seven hundred ten million, four hundred thousand".