6752671225344 has 1600 divisors, whose sum is σ = 24250147301952. Its totient is φ = 1847328768000.

The previous prime is 6752671225309. The next prime is 6752671225351. The reversal of 6752671225344 is 4435221762576.

6752671225344 is a `hidden beast` number, since 6 + 7 + 5 + 2 + 6 + 71 + 225 + 344 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28981421452 + ... + 28981421684.

Almost surely, 2^{6752671225344} is an apocalyptic number.

6752671225344 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 6752671225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12125073650976).

6752671225344 is an abundant number, since it is smaller than the sum of its proper divisors (17497476076608).

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

6752671225344 is a wasteful number, since it uses less digits than its factorization.

6752671225344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 404 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 6752671225344 in words is "six trillion, seven hundred fifty-two billion, six hundred seventy-one million, two hundred twenty-five thousand, three hundred forty-four".