462680817664 has 136 divisors (see below), whose sum is σ = 1003961917280. Its totient is φ = 211954434048.

The previous prime is 462680817653. The next prime is 462680817667. The reversal of 462680817664 is 466718086264.

It is a super-2 number, since 2×462680817664² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 462680817599 and 462680817608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462680817667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118421599 + ... + 118425505.

Almost surely, 2^462680817664 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 462680817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501980958640).

462680817664 is an abundant number, since it is smaller than the sum of its proper divisors (541281099616).

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

462680817664 is an equidigital number, since it uses as much as digits as its factorization.

462680817664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4091 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 58.

The spelling of 462680817664 in words is "four hundred sixty-two billion, six hundred eighty million, eight hundred seventeen thousand, six hundred sixty-four".