6477564016 has 180 divisors, whose sum is σ = 16262407800. Its totient is φ = 2471481600.

The previous prime is 6477563977. The next prime is 6477564029. The reversal of 6477564016 is 6104657746.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43473510 + ... + 43473658.

It is an arithmetic number, because the mean of its divisors is an integer number (90346710).

Almost surely, 2^6477564016 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 6477564016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8131203900).

6477564016 is an abundant number, since it is smaller than the sum of its proper divisors (9784843784).

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

6477564016 is a wasteful number, since it uses less digits than its factorization.

6477564016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The square root of 6477564016 is about 80483.3151404687. The cubic root of 6477564016 is about 1864.1058579753.

The spelling of 6477564016 in words is "six billion, four hundred seventy-seven million, five hundred sixty-four thousand, sixteen".