6756002448240 has 320 divisors, whose sum is σ = 23306258304000. Its totient is φ = 1610229891072.

The previous prime is 6756002448191. The next prime is 6756002448281. The reversal of 6756002448240 is 428442006576.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6756002448240.

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 63 ways as a sum of consecutive naturals, for example, 12784786 + ... + 13302734.

It is an arithmetic number, because the mean of its divisors is an integer number (72832057200).

Almost surely, 2^{6756002448240} is an apocalyptic number.

6756002448240 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 6756002448240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11653129152000).

6756002448240 is an abundant number, since it is smaller than the sum of its proper divisors (16550255855760).

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

6756002448240 is a wasteful number, since it uses less digits than its factorization.

6756002448240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518144 (or 518138 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 6756002448240 in words is "six trillion, seven hundred fifty-six billion, two million, four hundred forty-eight thousand, two hundred forty".