6426452680704 has 2016 divisors, whose sum is σ = 24764175820800. Its totient is φ = 1625330810880.

The previous prime is 6426452680667. The next prime is 6426452680717. The reversal of 6426452680704 is 4070862546246.

It is a happy number.

6426452680704 is a `hidden beast` number, since 6 + 42 + 6 + 4 + 526 + 8 + 0 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 207304925169 + ... + 207304925199.

Almost surely, 2^{6426452680704} is an apocalyptic number.

6426452680704 is a gapful number since it is divisible by the number (64) 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 6426452680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12382087910400).

6426452680704 is an abundant number, since it is smaller than the sum of its proper divisors (18337723140096).

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

6426452680704 is an frugal number, since it uses more digits than its factorization.

6426452680704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 6426452680704 in words is "six trillion, four hundred twenty-six billion, four hundred fifty-two million, six hundred eighty thousand, seven hundred four".