422577359568 has 480 divisors, whose sum is σ = 1514512842752. Its totient is φ = 106991539200.

The previous prime is 422577359513. The next prime is 422577359593. The reversal of 422577359568 is 865953775224.

422577359568 is a `hidden beast` number, since 4 + 2 + 2 + 577 + 3 + 5 + 9 + 56 + 8 = 666.

It is a super-2 number, since 2×422577359568² (a number of 24 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51586353 + ... + 51594543.

Almost surely, 2^422577359568 is an apocalyptic number.

422577359568 is a gapful number since it is divisible by the number (48) 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 422577359568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757256421376).

422577359568 is an abundant number, since it is smaller than the sum of its proper divisors (1091935483184).

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

422577359568 is a wasteful number, since it uses less digits than its factorization.

422577359568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8383 (or 8374 counting only the distinct ones).

The product of its digits is 127008000, while the sum is 63.

The spelling of 422577359568 in words is "four hundred twenty-two billion, five hundred seventy-seven million, three hundred fifty-nine thousand, five hundred sixty-eight".