427967172864 has 1215 divisors, whose sum is σ = 1659811211751. Its totient is φ = 109276231680.

The previous prime is 427967172859. The next prime is 427967172869. The reversal of 427967172864 is 468271769724.

The square root of 427967172864 is 654192.

It is a perfect power (a square), and thus also a powerful number.

427967172864 is a `hidden beast` number, since 427 + 9 + 67 + 1 + 72 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (427967172859) and next prime (427967172869).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (427967172869) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7253680867 + ... + 7253680925.

Almost surely, 2^427967172864 is an apocalyptic number.

427967172864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

427967172864 is the 654192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427967172864

427967172864 is an abundant number, since it is smaller than the sum of its proper divisors (1231844038887).

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

427967172864 is an equidigital number, since it uses as much as digits as its factorization.

427967172864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 82 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 63.

The spelling of 427967172864 in words is "four hundred twenty-seven billion, nine hundred sixty-seven million, one hundred seventy-two thousand, eight hundred sixty-four".