5087456640 has 512 divisors, whose sum is σ = 20809958400. Its totient is φ = 1150599168.

The previous prime is 5087456623. The next prime is 5087456653. The reversal of 5087456640 is 466547805.

5087456640 is a `hidden beast` number, since 5 + 0 + 87 + 4 + 566 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16571367 + ... + 16571673.

It is an arithmetic number, because the mean of its divisors is an integer number (40644450).

Almost surely, 2^5087456640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5087456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10404979200).

5087456640 is an abundant number, since it is smaller than the sum of its proper divisors (15722501760).

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

5087456640 is a wasteful number, since it uses less digits than its factorization.

5087456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5087456640 is about 71326.4091343452. The cubic root of 5087456640 is about 1719.8882927272. Note that the first 3 decimals are identical.

The spelling of 5087456640 in words is "five billion, eighty-seven million, four hundred fifty-six thousand, six hundred forty".