487875667968 has 1152 divisors, whose sum is σ = 1722266582400. Its totient is φ = 135810514944.

The previous prime is 487875667933. The next prime is 487875667973. The reversal of 487875667968 is 869766578784.

487875667968 is a `hidden beast` number, since 48 + 7 + 8 + 7 + 566 + 7 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5878020055 + ... + 5878020137.

It is an arithmetic number, because the mean of its divisors is an integer number (1495023075).

Almost surely, 2^487875667968 is an apocalyptic number.

487875667968 is a gapful number since it is divisible by the number (48) 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 487875667968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861133291200).

487875667968 is an abundant number, since it is smaller than the sum of its proper divisors (1234390914432).

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

487875667968 is a wasteful number, since it uses less digits than its factorization.

487875667968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 155 counting only the distinct ones).

The product of its digits is 6827950080, while the sum is 81.

The spelling of 487875667968 in words is "four hundred eighty-seven billion, eight hundred seventy-five million, six hundred sixty-seven thousand, nine hundred sixty-eight".