462064399680 has 448 divisors, whose sum is σ = 1633131859968. Its totient is φ = 109966172160.

The previous prime is 462064399649. The next prime is 462064399721. The reversal of 462064399680 is 86993460264.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 462064399680.

It is a congruent number.

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, 48679735 + ... + 48689225.

It is an arithmetic number, because the mean of its divisors is an integer number (3645383616).

Almost surely, 2^462064399680 is an apocalyptic number.

462064399680 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 462064399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816565929984).

462064399680 is an abundant number, since it is smaller than the sum of its proper divisors (1171067460288).

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

462064399680 is a wasteful number, since it uses less digits than its factorization.

462064399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9654 (or 9644 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 462064399680 in words is "four hundred sixty-two billion, sixty-four million, three hundred ninety-nine thousand, six hundred eighty".