463055343874560 has 640 divisors, whose sum is σ = 1750406072912640. Its totient is φ = 115627815862272.

The previous prime is 463055343874547. The next prime is 463055343874637. The reversal of 463055343874560 is 65478343550364.

463055343874560 is a `hidden beast` number, since 4 + 6 + 3 + 0 + 5 + 5 + 34 + 38 + 7 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×463055343874560² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230482687 + ... + 232483073.

It is an arithmetic number, because the mean of its divisors is an integer number (2735009488926).

Almost surely, 2^{463055343874560} is an apocalyptic number.

463055343874560 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 463055343874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875203036456320).

463055343874560 is an abundant number, since it is smaller than the sum of its proper divisors (1287350729038080).

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

463055343874560 is a wasteful number, since it uses less digits than its factorization.

463055343874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000633 (or 2000611 counting only the distinct ones).

The product of its (nonzero) digits is 435456000, while the sum is 63.

The spelling of 463055343874560 in words is "four hundred sixty-three trillion, fifty-five billion, three hundred forty-three million, eight hundred seventy-four thousand, five hundred sixty".