462768735672 has 48 divisors (see below), whose sum is σ = 1253593985280. Its totient is φ = 154224000000.

The previous prime is 462768735647. The next prime is 462768735673. The reversal of 462768735672 is 276537867264.

462768735672 is a `hidden beast` number, since 4 + 6 + 2 + 7 + 68 + 7 + 3 + 567 + 2 = 666.

It is a super-2 number, since 2×462768735672² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462768735673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323704 + ... + 1015047.

It is an arithmetic number, because the mean of its divisors is an integer number (26116541360).

Almost surely, 2^462768735672 is an apocalyptic number.

It is an amenable number.

462768735672 is an abundant number, since it is smaller than the sum of its proper divisors (790825249608).

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

462768735672 is a wasteful number, since it uses less digits than its factorization.

462768735672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343564 (or 1343557 counting only the distinct ones).

The product of its digits is 142248960, while the sum is 63.

The spelling of 462768735672 in words is "four hundred sixty-two billion, seven hundred sixty-eight million, seven hundred thirty-five thousand, six hundred seventy-two".