6466902624 has 864 divisors, whose sum is σ = 25515060480. Its totient is φ = 1572120576.

The previous prime is 6466902613. The next prime is 6466902641. The reversal of 6466902624 is 4262096646.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 6466902624.

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 143 ways as a sum of consecutive naturals, for example, 174781134 + ... + 174781170.

It is an arithmetic number, because the mean of its divisors is an integer number (29531320).

Almost surely, 2^6466902624 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 6466902624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12757530240).

6466902624 is an abundant number, since it is smaller than the sum of its proper divisors (19048157856).

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

6466902624 is a wasteful number, since it uses less digits than its factorization.

6466902624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 6466902624 is about 80417.0543106374. The cubic root of 6466902624 is about 1863.0825886979.

The spelling of 6466902624 in words is "six billion, four hundred sixty-six million, nine hundred two thousand, six hundred twenty-four".