6451271023680 has 840 divisors, whose sum is σ = 26865830193048. Its totient is φ = 1465138741248.

The previous prime is 6451271023669. The next prime is 6451271023699. The reversal of 6451271023680 is 863201721546.

6451271023680 is a `hidden beast` number, since 6 + 4 + 512 + 71 + 0 + 2 + 3 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1115947155456 + 5335323868224 = 1056384^2 + 2309832^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 199386384 + ... + 199418736.

Almost surely, 2^{6451271023680} is an apocalyptic number.

6451271023680 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 6451271023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13432915096524).

6451271023680 is an abundant number, since it is smaller than the sum of its proper divisors (20414559169368).

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

6451271023680 is a wasteful number, since it uses less digits than its factorization.

6451271023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32553 (or 32527 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 6451271023680 in words is "six trillion, four hundred fifty-one billion, two hundred seventy-one million, twenty-three thousand, six hundred eighty".