7140718464 has 128 divisors (see below), whose sum is σ = 20725061760. Its totient is φ = 2160384000.

The previous prime is 7140718463. The next prime is 7140718469. The reversal of 7140718464 is 4648170417.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×7140718464² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7140718463) 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 15 ways as a sum of consecutive naturals, for example, 4100634 + ... + 4102374.

It is an arithmetic number, because the mean of its divisors is an integer number (161914545).

Almost surely, 2^7140718464 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 7140718464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10362530880).

7140718464 is an abundant number, since it is smaller than the sum of its proper divisors (13584343296).

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

7140718464 is a wasteful number, since it uses less digits than its factorization.

7140718464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 7140718464 is about 84502.7719308663. The cubic root of 7140718464 is about 1925.6645562053.

The spelling of 7140718464 in words is "seven billion, one hundred forty million, seven hundred eighteen thousand, four hundred sixty-four".