4606427242368 has 480 divisors, whose sum is σ = 16786140683400. Its totient is φ = 1246849873920.

The previous prime is 4606427242357. The next prime is 4606427242393. The reversal of 4606427242368 is 8632427246064.

4606427242368 is a `hidden beast` number, since 4 + 6 + 0 + 6 + 4 + 272 + 4 + 2 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9413998 + ... + 9891218.

Almost surely, 2^{4606427242368} is an apocalyptic number.

4606427242368 is a gapful number since it is divisible by the number (48) 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 4606427242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8393070341700).

4606427242368 is an abundant number, since it is smaller than the sum of its proper divisors (12179713441032).

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

4606427242368 is a wasteful number, since it uses less digits than its factorization.

4606427242368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477280 (or 477252 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 4606427242368 in words is "four trillion, six hundred six billion, four hundred twenty-seven million, two hundred forty-two thousand, three hundred sixty-eight".