487711641600 has 936 divisors, whose sum is σ = 1849812453632. Its totient is φ = 122624409600.

The previous prime is 487711641533. The next prime is 487711641607. The reversal of 487711641600 is 6146117784.

487711641600 is a `hidden beast` number, since 487 + 7 + 1 + 1 + 6 + 4 + 160 + 0 = 666.

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 (487711641607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1228492602 + ... + 1228492998.

Almost surely, 2^487711641600 is an apocalyptic number.

487711641600 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 487711641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924906226816).

487711641600 is an abundant number, since it is smaller than the sum of its proper divisors (1362100812032).

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

487711641600 is a wasteful number, since it uses less digits than its factorization.

487711641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 487711641600 in words is "four hundred eighty-seven billion, seven hundred eleven million, six hundred forty-one thousand, six hundred".