6762536144 has 80 divisors (see below), whose sum is σ = 16274375040. Its totient is φ = 2650682880.

The previous prime is 6762536119. The next prime is 6762536147. The reversal of 6762536144 is 4416352676.

It is a junction number, because it is equal to n+sod(n) for n = 6762536095 and 6762536104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6762536147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 137399 + ... + 180009.

It is an arithmetic number, because the mean of its divisors is an integer number (203429688).

Almost surely, 2^6762536144 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 6762536144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8137187520).

6762536144 is an abundant number, since it is smaller than the sum of its proper divisors (9511838896).

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

6762536144 is a wasteful number, since it uses less digits than its factorization.

6762536144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42748 (or 42742 counting only the distinct ones).

The product of its digits is 725760, while the sum is 44.

The square root of 6762536144 is about 82234.6407786889. The cubic root of 6762536144 is about 1891.0508180921.

The spelling of 6762536144 in words is "six billion, seven hundred sixty-two million, five hundred thirty-six thousand, one hundred forty-four".