426375573624 has 1024 divisors, whose sum is σ = 1647378432000. Its totient is φ = 98604656640.

The previous prime is 426375573563. The next prime is 426375573629.

426375573624 is a `hidden beast` number, since 4 + 2 + 6 + 3 + 7 + 5 + 5 + 7 + 3 + 624 = 666.

426375573624 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×426375573624² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426375573629) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1783998097 + ... + 1783998335.

It is an arithmetic number, because the mean of its divisors is an integer number (1608768000).

Almost surely, 2^426375573624 is an apocalyptic number.

426375573624 is a gapful number since it is divisible by the number (44) 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 426375573624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823689216000).

426375573624 is an abundant number, since it is smaller than the sum of its proper divisors (1221002858376).

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

426375573624 is a wasteful number, since it uses less digits than its factorization.

426375573624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 535 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

It can be divided in two parts, 426375 and 573624, that added together give a palindrome (999999).

The spelling of 426375573624 in words is "four hundred twenty-six billion, three hundred seventy-five million, five hundred seventy-three thousand, six hundred twenty-four".