422763264000 has 1152 divisors, whose sum is σ = 1900637706240. Its totient is φ = 87810048000.

The previous prime is 422763263953. The next prime is 422763264047. The reversal of 422763264000 is 462367224.

422763264000 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 6 + 3 + 2 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (422763263953) and next prime (422763264047).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177406809 + ... + 177409191.

It is an arithmetic number, because the mean of its divisors is an integer number (1649859120).

Almost surely, 2^422763264000 is an apocalyptic number.

422763264000 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 422763264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950318853120).

422763264000 is an abundant number, since it is smaller than the sum of its proper divisors (1477874442240).

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

422763264000 is a wasteful number, since it uses less digits than its factorization.

422763264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 422763264000 in words is "four hundred twenty-two billion, seven hundred sixty-three million, two hundred sixty-four thousand".