427014967680 has 384 divisors, whose sum is σ = 1758456760320. Its totient is φ = 93359591424.

The previous prime is 427014967633. The next prime is 427014967693. The reversal of 427014967680 is 86769410724.

427014967680 is a `hidden beast` number, since 4 + 2 + 7 + 0 + 1 + 496 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 697129 + ... + 1157591.

It is an arithmetic number, because the mean of its divisors is an integer number (4579314480).

Almost surely, 2^427014967680 is an apocalyptic number.

427014967680 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 427014967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879228380160).

427014967680 is an abundant number, since it is smaller than the sum of its proper divisors (1331441792640).

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

427014967680 is a wasteful number, since it uses less digits than its factorization.

427014967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460518 (or 460503 counting only the distinct ones).

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

The spelling of 427014967680 in words is "four hundred twenty-seven billion, fourteen million, nine hundred sixty-seven thousand, six hundred eighty".