463370072256 has 1120 divisors, whose sum is σ = 1766596220928. Its totient is φ = 116841553920.

The previous prime is 463370072201. The next prime is 463370072267. The reversal of 463370072256 is 652270073364.

463370072256 is a `hidden beast` number, since 4 + 633 + 7 + 0 + 0 + 7 + 2 + 2 + 5 + 6 = 666.

It is a super-3 number, since 3×463370072256³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1075104361 + ... + 1075104791.

Almost surely, 2^463370072256 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 463370072256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883298110464).

463370072256 is an abundant number, since it is smaller than the sum of its proper divisors (1303226148672).

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

463370072256 is a wasteful number, since it uses less digits than its factorization.

463370072256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 463370072256 in words is "four hundred sixty-three billion, three hundred seventy million, seventy-two thousand, two hundred fifty-six".