462540672000 has 1408 divisors, whose sum is σ = 1949713459200. Its totient is φ = 107255808000.

The previous prime is 462540671953. The next prime is 462540672007. The reversal of 462540672000 is 276045264.

462540672000 is a `hidden beast` number, since 4 + 625 + 4 + 0 + 6 + 7 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-3 number, since 3×462540672000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (462540672007) 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, 20110463989 + ... + 20110464011.

Almost surely, 2^462540672000 is an apocalyptic number.

462540672000 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 462540672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974856729600).

462540672000 is an abundant number, since it is smaller than the sum of its proper divisors (1487172787200).

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

462540672000 is an equidigital number, since it uses as much as digits as its factorization.

462540672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 462540672000 in words is "four hundred sixty-two billion, five hundred forty million, six hundred seventy-two thousand".