462708499680 has 768 divisors, whose sum is σ = 1966083840000. Its totient is φ = 99216949248.

The previous prime is 462708499667. The next prime is 462708499681. The reversal of 462708499680 is 86994807264.

462708499680 is a `hidden beast` number, since 4 + 62 + 7 + 0 + 8 + 499 + 6 + 80 = 666.

It is a super-2 number, since 2×462708499680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462708499681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 179412631 + ... + 179415209.

It is an arithmetic number, because the mean of its divisors is an integer number (2560005000).

Almost surely, 2^462708499680 is an apocalyptic number.

462708499680 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 462708499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983041920000).

462708499680 is an abundant number, since it is smaller than the sum of its proper divisors (1503375340320).

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

462708499680 is a wasteful number, since it uses less digits than its factorization.

462708499680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 462708499680 in words is "four hundred sixty-two billion, seven hundred eight million, four hundred ninety-nine thousand, six hundred eighty".