427962802176 has 672 divisors, whose sum is σ = 1533694151808. Its totient is φ = 111972188160.

The previous prime is 427962802159. The next prime is 427962802187. The reversal of 427962802176 is 671208269724.

427962802176 is a `hidden beast` number, since 4 + 2 + 7 + 9 + 628 + 0 + 2 + 1 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×427962802176² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1522999156 + ... + 1522999436.

It is an arithmetic number, because the mean of its divisors is an integer number (2282282964).

Almost surely, 2^427962802176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427962802176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766847075904).

427962802176 is an abundant number, since it is smaller than the sum of its proper divisors (1105731349632).

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

427962802176 is a wasteful number, since it uses less digits than its factorization.

427962802176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 427962802176 in words is "four hundred twenty-seven billion, nine hundred sixty-two million, eight hundred two thousand, one hundred seventy-six".