487682189467200 has 4704 divisors, whose sum is σ = 2301955983165440. Its totient is φ = 99462828441600.

The previous prime is 487682189467181. The next prime is 487682189467273. The reversal of 487682189467200 is 2764981286784.

487682189467200 is a `hidden beast` number, since 4 + 8 + 7 + 6 + 82 + 1 + 89 + 467 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 556080033162 + ... + 556080034038.

Almost surely, 2^{487682189467200} is an apocalyptic number.

487682189467200 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 487682189467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150977991582720).

487682189467200 is an abundant number, since it is smaller than the sum of its proper divisors (1814273793698240).

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

487682189467200 is an equidigital number, since it uses as much as digits as its factorization.

487682189467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 487682189467200 in words is "four hundred eighty-seven trillion, six hundred eighty-two billion, one hundred eighty-nine million, four hundred sixty-seven thousand, two hundred".