462772871760 has 160 divisors (see below), whose sum is σ = 1449287811072. Its totient is φ = 122146859520.

The previous prime is 462772871723. The next prime is 462772871773. The reversal of 462772871760 is 67178277264.

It is a self number, because there is not a number n which added to its sum of digits gives 462772871760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13119267 + ... + 13154493.

Almost surely, 2^462772871760 is an apocalyptic number.

462772871760 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 462772871760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724643905536).

462772871760 is an abundant number, since it is smaller than the sum of its proper divisors (986514939312).

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

462772871760 is a wasteful number, since it uses less digits than its factorization.

462772871760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35801 (or 35795 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 57.

The spelling of 462772871760 in words is "four hundred sixty-two billion, seven hundred seventy-two million, eight hundred seventy-one thousand, seven hundred sixty".