7137696384 has 192 divisors, whose sum is σ = 25279712640. Its totient is φ = 1882441728.

The previous prime is 7137696383. The next prime is 7137696439. The reversal of 7137696384 is 4836967317.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7137696384.

It is not an unprimeable number, because it can be changed into a prime (7137696383) 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 23 ways as a sum of consecutive naturals, for example, 70789 + ... + 138875.

It is an arithmetic number, because the mean of its divisors is an integer number (131665170).

Almost surely, 2^7137696384 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 7137696384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12639856320).

7137696384 is an abundant number, since it is smaller than the sum of its proper divisors (18142016256).

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

7137696384 is a wasteful number, since it uses less digits than its factorization.

7137696384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68127 (or 68112 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 7137696384 is about 84484.8884949255. Note that the first 3 decimals coincide. The cubic root of 7137696384 is about 1925.3928592914.

The spelling of 7137696384 in words is "seven billion, one hundred thirty-seven million, six hundred ninety-six thousand, three hundred eighty-four".