6752751261120 has 252 divisors, whose sum is σ = 24118765487544. Its totient is φ = 1800733109760.

The previous prime is 6752751261119. The next prime is 6752751261121. The reversal of 6752751261120 is 211621572576.

6752751261120 is a `hidden beast` number, since 6 + 7 + 5 + 2 + 7 + 5 + 1 + 2 + 611 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (6752751261119) and next prime (6752751261121).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6752751261121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 491355 + ... + 3707685.

Almost surely, 2^{6752751261120} is an apocalyptic number.

6752751261120 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 6752751261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12059382743772).

6752751261120 is an abundant number, since it is smaller than the sum of its proper divisors (17366014226424).

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

6752751261120 is an frugal number, since it uses more digits than its factorization.

6752751261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216372 (or 3216341 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 6752751261120 in words is "six trillion, seven hundred fifty-two billion, seven hundred fifty-one million, two hundred sixty-one thousand, one hundred twenty".