422501764608000 has 6240 divisors, whose sum is σ = 2052079880026176. Its totient is φ = 85465497600000.

The previous prime is 422501764607947. The next prime is 422501764608019. The reversal of 422501764608000 is 806467105224.

422501764608000 is a `hidden beast` number, since 4 + 2 + 2 + 501 + 7 + 6 + 4 + 60 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 916489727770 + ... + 916489728230.

Almost surely, 2^{422501764608000} is an apocalyptic number.

422501764608000 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 422501764608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026039940013088).

422501764608000 is an abundant number, since it is smaller than the sum of its proper divisors (1629578115418176).

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

422501764608000 is a wasteful number, since it uses less digits than its factorization.

422501764608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 422501764608000 in words is "four hundred twenty-two trillion, five hundred one billion, seven hundred sixty-four million, six hundred eight thousand".