487133754624 has 576 divisors, whose sum is σ = 1651915668480. Its totient is φ = 140251668480.

The previous prime is 487133754599. The next prime is 487133754629. The reversal of 487133754624 is 426457331784.

487133754624 is a `hidden beast` number, since 4 + 8 + 7 + 1 + 3 + 3 + 7 + 5 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487133754629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120964899 + ... + 120968925.

Almost surely, 2^487133754624 is an apocalyptic number.

487133754624 is a gapful number since it is divisible by the number (44) 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 487133754624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825957834240).

487133754624 is an abundant number, since it is smaller than the sum of its proper divisors (1164781913856).

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

487133754624 is a wasteful number, since it uses less digits than its factorization.

487133754624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143 (or 4123 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 487133754624 in words is "four hundred eighty-seven billion, one hundred thirty-three million, seven hundred fifty-four thousand, six hundred twenty-four".