6516072738 has 96 divisors (see below), whose sum is σ = 16610256000. Its totient is φ = 1807142400.

The previous prime is 6516072737. The next prime is 6516072769. The reversal of 6516072738 is 8372706156.

6516072738 is a `hidden beast` number, since 6 + 5 + 1 + 607 + 2 + 7 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6516072693 and 6516072702.

It is not an unprimeable number, because it can be changed into a prime (6516072737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2324938 + ... + 2327738.

It is an arithmetic number, because the mean of its divisors is an integer number (173023500).

Almost surely, 2^6516072738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6516072738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8305128000).

6516072738 is an abundant number, since it is smaller than the sum of its proper divisors (10094183262).

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

6516072738 is a wasteful number, since it uses less digits than its factorization.

6516072738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 6516072738 is about 80722.1948289317. The cubic root of 6516072738 is about 1867.7925603062.

The spelling of 6516072738 in words is "six billion, five hundred sixteen million, seventy-two thousand, seven hundred thirty-eight".