6648299544960 has 640 divisors, whose sum is σ = 24213582201600. Its totient is φ = 1737972633600.

The previous prime is 6648299544881. The next prime is 6648299544967. The reversal of 6648299544960 is 694459928466.

6648299544960 is a `hidden beast` number, since 6 + 6 + 4 + 82 + 9 + 9 + 54 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×6648299544960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6648299544967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 658829515 + ... + 658839605.

It is an arithmetic number, because the mean of its divisors is an integer number (37833722190).

Almost surely, 2^{6648299544960} is an apocalyptic number.

6648299544960 is a gapful number since it is divisible by the number (60) 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 6648299544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12106791100800).

6648299544960 is an abundant number, since it is smaller than the sum of its proper divisors (17565282656640).

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

6648299544960 is a wasteful number, since it uses less digits than its factorization.

6648299544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10372 (or 10351 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 6648299544960 in words is "six trillion, six hundred forty-eight billion, two hundred ninety-nine million, five hundred forty-four thousand, nine hundred sixty".