7296971136 has 192 divisors, whose sum is σ = 23988049920. Its totient is φ = 1924356096.

The previous prime is 7296971113. The next prime is 7296971137. The reversal of 7296971136 is 6311796927.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7296971137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446241 + ... + 462303.

It is an arithmetic number, because the mean of its divisors is an integer number (124937760).

Almost surely, 2^7296971136 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 7296971136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11994024960).

7296971136 is an abundant number, since it is smaller than the sum of its proper divisors (16691078784).

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

7296971136 is a wasteful number, since it uses less digits than its factorization.

7296971136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16113 (or 16088 counting only the distinct ones).

The product of its digits is 857304, while the sum is 51.

The square root of 7296971136 is about 85422.3105283391. The cubic root of 7296971136 is about 1939.6090840928.

The spelling of 7296971136 in words is "seven billion, two hundred ninety-six million, nine hundred seventy-one thousand, one hundred thirty-six".