487882967040 has 768 divisors, whose sum is σ = 2007742464000. Its totient is φ = 110070005760.

The previous prime is 487882967009. The next prime is 487882967051. The reversal of 487882967040 is 40769288784.

487882967040 is a `hidden beast` number, since 487 + 8 + 82 + 9 + 6 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 152891845 + ... + 152895035.

It is an arithmetic number, because the mean of its divisors is an integer number (2614248000).

Almost surely, 2^487882967040 is an apocalyptic number.

487882967040 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 487882967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003871232000).

487882967040 is an abundant number, since it is smaller than the sum of its proper divisors (1519859496960).

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

487882967040 is a wasteful number, since it uses less digits than its factorization.

487882967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 487882967040 in words is "four hundred eighty-seven billion, eight hundred eighty-two million, nine hundred sixty-seven thousand, forty".