6718464000000 has 1071 divisors, whose sum is σ = 25192445325541. Its totient is φ = 1791590400000.

The previous prime is 6718463999987. The next prime is 6718464000007. The reversal of 6718464000000 is 4648176.

The square root of 6718464000000 is 2592000.

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

6718464000000 is a `hidden beast` number, since 6 + 7 + 1 + 8 + 4 + 640 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5886019436544 + 832444563456 = 2426112^2 + 912384^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6718464000007) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1343692799998 + ... + 1343692800002.

Almost surely, 2^{6718464000000} is an apocalyptic number.

6718464000000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6718464000000 is the 2592000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6718464000000

6718464000000 is an abundant number, since it is smaller than the sum of its proper divisors (18473981325541).

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

6718464000000 is an frugal number, since it uses more digits than its factorization.

6718464000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 10 counting only the distinct ones).

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

Multiplying 6718464000000 by its sum of digits (36), we get a square (241864704000000 = 15552000²).

6718464000000 divided by its sum of digits (36) gives a square (186624000000 = 432000²).

Adding to 6718464000000 its reverse (4648176), we get a palindrome (6718468648176).

The spelling of 6718464000000 in words is "six trillion, seven hundred eighteen billion, four hundred sixty-four million", and thus it is an aban number.