4812627456 has 480 divisors, whose sum is σ = 17873856000. Its totient is φ = 1211645952.

The previous prime is 4812627451. The next prime is 4812627493. The reversal of 4812627456 is 6547262184.

4812627456 is a `hidden beast` number, since 4 + 8 + 12 + 627 + 4 + 5 + 6 = 666.

It is a super-2 number, since 2×4812627456² = 46322766060490063872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4812627451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9644295 + ... + 9644793.

It is an arithmetic number, because the mean of its divisors is an integer number (37237200).

Almost surely, 2^4812627456 is an apocalyptic number.

4812627456 is a gapful number since it is divisible by the number (46) 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 4812627456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8936928000).

4812627456 is an abundant number, since it is smaller than the sum of its proper divisors (13061228544).

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

4812627456 is a wasteful number, since it uses less digits than its factorization.

4812627456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 547 counting only the distinct ones).

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

The square root of 4812627456 is about 69373.1032605577. The cubic root of 4812627456 is about 1688.3432588092.

The spelling of 4812627456 in words is "four billion, eight hundred twelve million, six hundred twenty-seven thousand, four hundred fifty-six".