7231313664 has 576 divisors, whose sum is σ = 24724224000. Its totient is φ = 2070282240.

The previous prime is 7231313653. The next prime is 7231313717. The reversal of 7231313664 is 4663131327.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 91535577 + ... + 91535655.

It is an arithmetic number, because the mean of its divisors is an integer number (42924000).

Almost surely, 2^7231313664 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 7231313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362112000).

7231313664 is an abundant number, since it is smaller than the sum of its proper divisors (17492910336).

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

7231313664 is a wasteful number, since it uses less digits than its factorization.

7231313664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 7231313664 is about 85037.1310898951. The cubic root of 7231313664 is about 1933.7740735429.

The spelling of 7231313664 in words is "seven billion, two hundred thirty-one million, three hundred thirteen thousand, six hundred sixty-four".