422966849760 has 1536 divisors, whose sum is σ = 1899633254400. Its totient is φ = 86587564032.

The previous prime is 422966849687. The next prime is 422966849779. The reversal of 422966849760 is 67948669224.

422966849760 is a `hidden beast` number, since 4 + 2 + 29 + 6 + 68 + 497 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1178180461 + ... + 1178180819.

It is an arithmetic number, because the mean of its divisors is an integer number (1236740400).

Almost surely, 2^422966849760 is an apocalyptic number.

422966849760 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 422966849760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949816627200).

422966849760 is an abundant number, since it is smaller than the sum of its proper divisors (1476666404640).

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

422966849760 is a wasteful number, since it uses less digits than its factorization.

422966849760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 422966849760 in words is "four hundred twenty-two billion, nine hundred sixty-six million, eight hundred forty-nine thousand, seven hundred sixty".