6536414976 has 432 divisors, whose sum is σ = 22548492288. Its totient is φ = 1664409600.

The previous prime is 6536414971. The next prime is 6536414981. The reversal of 6536414976 is 6794146356.

It is an interprime number because it is at equal distance from previous prime (6536414971) and next prime (6536414981).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6536414971) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15165481 + ... + 15165911.

It is an arithmetic number, because the mean of its divisors is an integer number (52195584).

Almost surely, 2^6536414976 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 6536414976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11274246144).

6536414976 is an abundant number, since it is smaller than the sum of its proper divisors (16012077312).

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

6536414976 is a wasteful number, since it uses less digits than its factorization.

6536414976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 487 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 51.

The square root of 6536414976 is about 80848.0981594496. The cubic root of 6536414976 is about 1869.7342007375.

The spelling of 6536414976 in words is "six billion, five hundred thirty-six million, four hundred fourteen thousand, nine hundred seventy-six".