426708172800 has 1728 divisors, whose sum is σ = 1965946671360. Its totient is φ = 88332042240.

The previous prime is 426708172783. The next prime is 426708172841. The reversal of 426708172800 is 8271807624.

426708172800 is a `hidden beast` number, since 426 + 7 + 0 + 81 + 72 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8051097574 + ... + 8051097626.

It is an arithmetic number, because the mean of its divisors is an integer number (1137700620).

Almost surely, 2^426708172800 is an apocalyptic number.

426708172800 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 426708172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982973335680).

426708172800 is an abundant number, since it is smaller than the sum of its proper divisors (1539238498560).

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

426708172800 is an equidigital number, since it uses as much as digits as its factorization.

426708172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 426708172800 in words is "four hundred twenty-six billion, seven hundred eight million, one hundred seventy-two thousand, eight hundred".