426764894400 has 840 divisors, whose sum is σ = 1696130780960. Its totient is φ = 104628879360.

The previous prime is 426764894371. The next prime is 426764894459. The reversal of 426764894400 is 4498467624.

426764894400 is a `hidden beast` number, since 4 + 2 + 67 + 64 + 89 + 440 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 739626912 + ... + 739627488.

Almost surely, 2^426764894400 is an apocalyptic number.

426764894400 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 426764894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848065390480).

426764894400 is an abundant number, since it is smaller than the sum of its proper divisors (1269365886560).

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

426764894400 is a wasteful number, since it uses less digits than its factorization.

426764894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 426764894400 in words is "four hundred twenty-six billion, seven hundred sixty-four million, eight hundred ninety-four thousand, four hundred".