6508477440 has 528 divisors, whose sum is σ = 24451005600. Its totient is φ = 1641480192.

The previous prime is 6508477399. The next prime is 6508477499. The reversal of 6508477440 is 447748056.

6508477440 is a `hidden beast` number, since 65 + 0 + 84 + 77 + 440 = 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 47 ways as a sum of consecutive naturals, for example, 73128916 + ... + 73129004.

Almost surely, 2^6508477440 is an apocalyptic number.

6508477440 is a gapful number since it is divisible by the number (60) 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 6508477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12225502800).

6508477440 is an abundant number, since it is smaller than the sum of its proper divisors (17942528160).

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

6508477440 is a wasteful number, since it uses less digits than its factorization.

6508477440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 6508477440 is about 80675.1352028616. The cubic root of 6508477440 is about 1867.0665628502.

The spelling of 6508477440 in words is "six billion, five hundred eight million, four hundred seventy-seven thousand, four hundred forty".