6738037488 has 800 divisors, whose sum is σ = 26349424640. Its totient is φ = 1612431360.

The previous prime is 6738037483. The next prime is 6738037517. The reversal of 6738037488 is 8847308376.

It is a super-2 number, since 2×6738037488² = 90802298379386700288, which 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 (6738037483) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 69464256 + ... + 69464352.

Almost surely, 2^6738037488 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 6738037488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13174712320).

6738037488 is an abundant number, since it is smaller than the sum of its proper divisors (19611387152).

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

6738037488 is a wasteful number, since it uses less digits than its factorization.

6738037488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 6738037488 is about 82085.5498123756. The cubic root of 6738037488 is about 1888.7644835088.

The spelling of 6738037488 in words is "six billion, seven hundred thirty-eight million, thirty-seven thousand, four hundred eighty-eight".