6751553461632 has 448 divisors, whose sum is σ = 23148373312800. Its totient is φ = 1920549076992.

The previous prime is 6751553461607. The next prime is 6751553461637. The reversal of 6751553461632 is 2361643551576.

6751553461632 is a `hidden beast` number, since 6 + 7 + 5 + 1 + 553 + 46 + 16 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×6751553461632² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6751553461637) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 149556568 + ... + 149601704.

Almost surely, 2^{6751553461632} 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 6751553461632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11574186656400).

6751553461632 is an abundant number, since it is smaller than the sum of its proper divisors (16396819851168).

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

6751553461632 is an equidigital number, since it uses as much as digits as its factorization.

6751553461632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45405 (or 45378 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

The spelling of 6751553461632 in words is "six trillion, seven hundred fifty-one billion, five hundred fifty-three million, four hundred sixty-one thousand, six hundred thirty-two".