426772558080 has 576 divisors, whose sum is σ = 1655269136640. Its totient is φ = 103263436800.

The previous prime is 426772558031. The next prime is 426772558183. The reversal of 426772558080 is 80855277624.

426772558080 is a `hidden beast` number, since 4 + 2 + 6 + 7 + 7 + 2 + 558 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 357729964 + ... + 357731156.

It is an arithmetic number, because the mean of its divisors is an integer number (2873731140).

Almost surely, 2^426772558080 is an apocalyptic number.

426772558080 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 426772558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827634568320).

426772558080 is an abundant number, since it is smaller than the sum of its proper divisors (1228496578560).

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

426772558080 is a wasteful number, since it uses less digits than its factorization.

426772558080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 426772558080 in words is "four hundred twenty-six billion, seven hundred seventy-two million, five hundred fifty-eight thousand, eighty".