462374473264 has 80 divisors (see below), whose sum is σ = 1025481150720. Its totient is φ = 199908980480.

The previous prime is 462374473199. The next prime is 462374473271.

462374473264 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×462374473264² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405534 + ... + 1043650.

It is an arithmetic number, because the mean of its divisors is an integer number (12818514384).

Almost surely, 2^462374473264 is an apocalyptic number.

462374473264 is a gapful number since it is divisible by the number (44) 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 462374473264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512740575360).

462374473264 is an abundant number, since it is smaller than the sum of its proper divisors (563106677456).

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

462374473264 is a wasteful number, since it uses less digits than its factorization.

462374473264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638338 (or 638332 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 52.

The spelling of 462374473264 in words is "four hundred sixty-two billion, three hundred seventy-four million, four hundred seventy-three thousand, two hundred sixty-four".