6521164674102 has 192 divisors, whose sum is σ = 16823697770880. Its totient is φ = 1805073887232.

The previous prime is 6521164674097. The next prime is 6521164674121. The reversal of 6521164674102 is 2014764611256.

6521164674102 is a `hidden beast` number, since 6 + 521 + 1 + 6 + 46 + 74 + 10 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130719988 + ... + 130769864.

It is an arithmetic number, because the mean of its divisors is an integer number (87623425890).

Almost surely, 2^{6521164674102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6521164674102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8411848885440).

6521164674102 is an abundant number, since it is smaller than the sum of its proper divisors (10302533096778).

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

6521164674102 is a wasteful number, since it uses less digits than its factorization.

6521164674102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51367 (or 51364 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 6521164674102 in words is "six trillion, five hundred twenty-one billion, one hundred sixty-four million, six hundred seventy-four thousand, one hundred two".