478630819548000 has 2304 divisors, whose sum is σ = 2035212079380480. Its totient is φ = 104258617344000.

The previous prime is 478630819547971. The next prime is 478630819548019. The reversal of 478630819548000 is 845918036874.

478630819548000 is a `hidden beast` number, since 4 + 7 + 8 + 6 + 3 + 0 + 81 + 9 + 548 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×478630819548000² (a number of 30 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 99362841592 + ... + 99362846408.

It is an arithmetic number, because the mean of its divisors is an integer number (883338576120).

Almost surely, 2^{478630819548000} is an apocalyptic number.

478630819548000 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 478630819548000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017606039690240).

478630819548000 is an abundant number, since it is smaller than the sum of its proper divisors (1556581259832480).

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

478630819548000 is a wasteful number, since it uses less digits than its factorization.

478630819548000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 478630819548000 in words is "four hundred seventy-eight trillion, six hundred thirty billion, eight hundred nineteen million, five hundred forty-eight thousand".