426520624682880 has 2304 divisors, whose sum is σ = 1943111238082560. Its totient is φ = 87085805322240.

The previous prime is 426520624682879. The next prime is 426520624682897. The reversal of 426520624682880 is 88286426025624.

426520624682880 is a `hidden beast` number, since 4 + 2 + 6 + 520 + 6 + 2 + 4 + 6 + 8 + 28 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11845473837 + ... + 11845509843.

It is an arithmetic number, because the mean of its divisors is an integer number (843364252640).

Almost surely, 2^{426520624682880} is an apocalyptic number.

426520624682880 is a gapful number since it is divisible by the number (40) 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 426520624682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971555619041280).

426520624682880 is an abundant number, since it is smaller than the sum of its proper divisors (1516590613399680).

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

426520624682880 is an equidigital number, since it uses as much as digits as its factorization.

426520624682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36101 (or 36068 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 63.

The spelling of 426520624682880 in words is "four hundred twenty-six trillion, five hundred twenty billion, six hundred twenty-four million, six hundred eighty-two thousand, eight hundred eighty".