481686004800 has 3360 divisors, whose sum is σ = 2458562641920. Its totient is φ = 89280921600.

The previous prime is 481686004783. The next prime is 481686004801. The reversal of 481686004800 is 8400686184.

481686004800 is a `hidden beast` number, since 4 + 8 + 168 + 6 + 0 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (481686004801) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6097291161 + ... + 6097291239.

It is an arithmetic number, because the mean of its divisors is an integer number (731715072).

Almost surely, 2^481686004800 is an apocalyptic number.

481686004800 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 481686004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229281320960).

481686004800 is an abundant number, since it is smaller than the sum of its proper divisors (1976876637120).

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

481686004800 is a wasteful number, since it uses less digits than its factorization.

481686004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 481686004800 in words is "four hundred eighty-one billion, six hundred eighty-six million, four thousand, eight hundred".