426546645624 has 128 divisors (see below), whose sum is σ = 1294658208000. Its totient is φ = 129047299200.

The previous prime is 426546645611. The next prime is 426546645647.

426546645624 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 4 + 6 + 6 + 4 + 5 + 624 = 666.

426546645624 is nontrivially palindromic in base 10.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1325734 + ... + 1615754.

It is an arithmetic number, because the mean of its divisors is an integer number (10114517250).

Almost surely, 2^426546645624 is an apocalyptic number.

426546645624 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 426546645624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647329104000).

426546645624 is an abundant number, since it is smaller than the sum of its proper divisors (868111562376).

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

426546645624 is a wasteful number, since it uses less digits than its factorization.

426546645624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290666 (or 290656 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 426546645624 in words is "four hundred twenty-six billion, five hundred forty-six million, six hundred forty-five thousand, six hundred twenty-four".