459505476672000 has 640 divisors, whose sum is σ = 1720388749787136. Its totient is φ = 107801856000000.

The previous prime is 459505476671897. The next prime is 459505476672007. The reversal of 459505476672000 is 276674505954.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×459505476672000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (459505476672007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61962825 + ... + 68981175.

Almost surely, 2^{459505476672000} is an apocalyptic number.

459505476672000 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 459505476672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860194374893568).

459505476672000 is an abundant number, since it is smaller than the sum of its proper divisors (1260883273115136).

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

459505476672000 is a wasteful number, since it uses less digits than its factorization.

459505476672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7018429 (or 7018403 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 60.

The spelling of 459505476672000 in words is "four hundred fifty-nine trillion, five hundred five billion, four hundred seventy-six million, six hundred seventy-two thousand".