6440910648480 has 768 divisors, whose sum is σ = 28253221355520. Its totient is φ = 1331350732800.

The previous prime is 6440910648449. The next prime is 6440910648611. The reversal of 6440910648480 is 848460190446.

6440910648480 is a `hidden beast` number, since 64 + 40 + 9 + 1 + 0 + 64 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63483552 + ... + 63584928.

It is an arithmetic number, because the mean of its divisors is an integer number (36788048640).

Almost surely, 2^{6440910648480} is an apocalyptic number.

6440910648480 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 6440910648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126610677760).

6440910648480 is an abundant number, since it is smaller than the sum of its proper divisors (21812310707040).

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

6440910648480 is a wasteful number, since it uses less digits than its factorization.

6440910648480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101610 (or 101596 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 6440910648480 in words is "six trillion, four hundred forty billion, nine hundred ten million, six hundred forty-eight thousand, four hundred eighty".