427427734515264 has 672 divisors, whose sum is σ = 1439499091430400. Its totient is φ = 118719651262464.

The previous prime is 427427734515259. The next prime is 427427734515361. The reversal of 427427734515264 is 462515437724724.

It is a happy number.

427427734515264 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 2 + 7 + 73 + 451 + 52 + 64 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34066123839 + ... + 34066136385.

It is an arithmetic number, because the mean of its divisors is an integer number (2142111743200).

Almost surely, 2^{427427734515264} 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 427427734515264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719749545715200).

427427734515264 is an abundant number, since it is smaller than the sum of its proper divisors (1012071356915136).

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

427427734515264 is a wasteful number, since it uses less digits than its factorization.

427427734515264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13527 (or 13514 counting only the distinct ones).

The product of its digits is 316108800, while the sum is 63.

The spelling of 427427734515264 in words is "four hundred twenty-seven trillion, four hundred twenty-seven billion, seven hundred thirty-four million, five hundred fifteen thousand, two hundred sixty-four".