422760961179648 has 2304 divisors, whose sum is σ = 1661410709784000. Its totient is φ = 105594331594752.

The previous prime is 422760961179631. The next prime is 422760961179659. The reversal of 422760961179648 is 846971169067224.

422760961179648 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 609 + 6 + 1 + 1 + 7 + 9 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×422760961179648³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 139203475986 + ... + 139203479022.

Almost surely, 2^{422760961179648} is an apocalyptic number.

422760961179648 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 422760961179648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830705354892000).

422760961179648 is an abundant number, since it is smaller than the sum of its proper divisors (1238649748604352).

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

422760961179648 is a wasteful number, since it uses less digits than its factorization.

422760961179648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 422760961179648 in words is "four hundred twenty-two trillion, seven hundred sixty billion, nine hundred sixty-one million, one hundred seventy-nine thousand, six hundred forty-eight".