426807964800 has 768 divisors, whose sum is σ = 1833484435200. Its totient is φ = 94914478080.

The previous prime is 426807964787. The next prime is 426807964813. The reversal of 426807964800 is 8469708624.

426807964800 is a `hidden beast` number, since 426 + 80 + 7 + 9 + 64 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (426807964787) and next prime (426807964813).

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 95 ways as a sum of consecutive naturals, for example, 22368064 + ... + 22387136.

It is an arithmetic number, because the mean of its divisors is an integer number (2387349525).

Almost surely, 2^426807964800 is an apocalyptic number.

426807964800 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 426807964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916742217600).

426807964800 is an abundant number, since it is smaller than the sum of its proper divisors (1406676470400).

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

426807964800 is a wasteful number, since it uses less digits than its factorization.

426807964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19150 (or 19127 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 426807964800 in words is "four hundred twenty-six billion, eight hundred seven million, nine hundred sixty-four thousand, eight hundred".