462506768720 has 40 divisors (see below), whose sum is σ = 1075778798280. Its totient is φ = 184925191680.

The previous prime is 462506768693. The next prime is 462506768761. The reversal of 462506768720 is 27867605264.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25474713664 + 437032055056 = 159608^2 + 661084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×462506768720² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1018871 + ... + 1401110.

It is an arithmetic number, because the mean of its divisors is an integer number (26894469957).

Almost surely, 2^462506768720 is an apocalyptic number.

462506768720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462506768720 is an abundant number, since it is smaller than the sum of its proper divisors (613272029560).

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

462506768720 is a wasteful number, since it uses less digits than its factorization.

462506768720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422383 (or 2422377 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 53.

The spelling of 462506768720 in words is "four hundred sixty-two billion, five hundred six million, seven hundred sixty-eight thousand, seven hundred twenty".