6650408628864 has 576 divisors, whose sum is σ = 25889467269120. Its totient is φ = 1594500526080.

The previous prime is 6650408628793. The next prime is 6650408628907. The reversal of 6650408628864 is 4688268040566.

It is a happy number.

6650408628864 is a `hidden beast` number, since 6 + 6 + 504 + 0 + 8 + 62 + 8 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12422529 + ... + 12946815.

Almost surely, 2^{6650408628864} is an apocalyptic number.

6650408628864 is a gapful number since it is divisible by the number (64) 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 6650408628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12944733634560).

6650408628864 is an abundant number, since it is smaller than the sum of its proper divisors (19239058640256).

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

6650408628864 is a wasteful number, since it uses less digits than its factorization.

6650408628864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524349 (or 524323 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 6650408628864 in words is "six trillion, six hundred fifty billion, four hundred eight million, six hundred twenty-eight thousand, eight hundred sixty-four".