6481708646400 has 2295 divisors, whose sum is σ = 27621238141101. Its totient is φ = 1501644718080.

The previous prime is 6481708646323. The next prime is 6481708646401. The reversal of 6481708646400 is 46468071846.

The square root of 6481708646400 is 2545920.

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

6481708646400 is a `hidden beast` number, since 6 + 4 + 8 + 170 + 8 + 6 + 464 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 4720503619584 + 1761205026816 = 2172672^2 + 1327104^2 .

It is a tau number, because it is divible by the number of its divisors (2295).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6481708646401) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 381276979192 + ... + 381276979208.

Almost surely, 2^{6481708646400} is an apocalyptic number.

6481708646400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6481708646400 is the 2545920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6481708646400

6481708646400 is an abundant number, since it is smaller than the sum of its proper divisors (21139529494701).

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

6481708646400 is an equidigital number, since it uses as much as digits as its factorization.

6481708646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 6481708646400 in words is "six trillion, four hundred eighty-one billion, seven hundred eight million, six hundred forty-six thousand, four hundred".