6754051361232 has 640 divisors, whose sum is σ = 23933389593600. Its totient is φ = 1779614613504.

The previous prime is 6754051361221. The next prime is 6754051361339. The reversal of 6754051361232 is 2321631504576.

6754051361232 is a `hidden beast` number, since 6 + 7 + 5 + 4 + 0 + 51 + 361 + 232 = 666.

It is a super-3 number, since 3×6754051361232³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3348561888 + ... + 3348563904.

It is an arithmetic number, because the mean of its divisors is an integer number (37395921240).

Almost surely, 2^{6754051361232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6754051361232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11966694796800).

6754051361232 is an abundant number, since it is smaller than the sum of its proper divisors (17179338232368).

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

6754051361232 is a wasteful number, since it uses less digits than its factorization.

6754051361232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 6754051361232 in words is "six trillion, seven hundred fifty-four billion, fifty-one million, three hundred sixty-one thousand, two hundred thirty-two".