487598791680 has 2376 divisors, whose sum is σ = 2361736042848. Its totient is φ = 90508492800.

The previous prime is 487598791661. The next prime is 487598791723. The reversal of 487598791680 is 86197895784.

487598791680 is a `hidden beast` number, since 487 + 5 + 9 + 87 + 9 + 1 + 68 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 487598791599 and 487598791608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 15728993265 + ... + 15728993295.

Almost surely, 2^487598791680 is an apocalyptic number.

487598791680 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 487598791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180868021424).

487598791680 is an abundant number, since it is smaller than the sum of its proper divisors (1874137251168).

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

487598791680 is a wasteful number, since it uses less digits than its factorization.

487598791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 487598791680 in words is "four hundred eighty-seven billion, five hundred ninety-eight million, seven hundred ninety-one thousand, six hundred eighty".