6487536510 has 384 divisors, whose sum is σ = 22557312000. Its totient is φ = 1295543808.

The previous prime is 6487536409. The next prime is 6487536557. The reversal of 6487536510 is 156357846.

6487536510 is a `hidden beast` number, since 6 + 4 + 87 + 53 + 6 + 510 = 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 191 ways as a sum of consecutive naturals, for example, 6068256 + ... + 6069324.

It is an arithmetic number, because the mean of its divisors is an integer number (58743000).

Almost surely, 2^6487536510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6487536510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11278656000).

6487536510 is an abundant number, since it is smaller than the sum of its proper divisors (16069775490).

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

6487536510 is a wasteful number, since it uses less digits than its factorization.

6487536510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 6487536510 is about 80545.2451110554. The cubic root of 6487536510 is about 1865.0619917245.

The spelling of 6487536510 in words is "six billion, four hundred eighty-seven million, five hundred thirty-six thousand, five hundred ten".