426876678624 has 96 divisors (see below), whose sum is σ = 1222675534080. Its totient is φ = 129329484800.

The previous prime is 426876678623. The next prime is 426876678653.

426876678624 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×426876678624³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426876678623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5325757 + ... + 5405315.

It is an arithmetic number, because the mean of its divisors is an integer number (12736203480).

Almost surely, 2^426876678624 is an apocalyptic number.

426876678624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

426876678624 is an abundant number, since it is smaller than the sum of its proper divisors (795798855456).

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

426876678624 is a wasteful number, since it uses less digits than its factorization.

426876678624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84664 (or 84656 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 66.

The spelling of 426876678624 in words is "four hundred twenty-six billion, eight hundred seventy-six million, six hundred seventy-eight thousand, six hundred twenty-four".