487763752320 has 896 divisors, whose sum is σ = 1899748196640. Its totient is φ = 118985490432.

The previous prime is 487763752313. The next prime is 487763752381. The reversal of 487763752320 is 23257367784.

487763752320 is a `hidden beast` number, since 4 + 87 + 7 + 6 + 37 + 523 + 2 + 0 = 666.

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

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 830943067 + ... + 830943653.

Almost surely, 2^487763752320 is an apocalyptic number.

487763752320 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 487763752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949874098320).

487763752320 is an abundant number, since it is smaller than the sum of its proper divisors (1411984444320).

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

487763752320 is a wasteful number, since it uses less digits than its factorization.

487763752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 487763752320 in words is "four hundred eighty-seven billion, seven hundred sixty-three million, seven hundred fifty-two thousand, three hundred twenty".