487674237600 has 1620 divisors, whose sum is σ = 2057823529146. Its totient is φ = 112223232000.

The previous prime is 487674237473. The next prime is 487674237619. The reversal of 487674237600 is 6732476784.

487674237600 is a `hidden beast` number, since 4 + 8 + 7 + 6 + 7 + 4 + 23 + 7 + 600 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 3575561616 + 484098675984 = 59796^2 + 695772^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 11894493580 + ... + 11894493620.

Almost surely, 2^487674237600 is an apocalyptic number.

487674237600 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 487674237600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028911764573).

487674237600 is an abundant number, since it is smaller than the sum of its proper divisors (1570149291546).

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

487674237600 is a wasteful number, since it uses less digits than its factorization.

487674237600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 487674237600 in words is "four hundred eighty-seven billion, six hundred seventy-four million, two hundred thirty-seven thousand, six hundred".