7311728634 has 128 divisors (see below), whose sum is σ = 17550950400. Its totient is φ = 1986992640.

The previous prime is 7311728623. The next prime is 7311728639. The reversal of 7311728634 is 4368271137.

It is a super-2 number, since 2×7311728634² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (169344) is a multiple of the sum of its prime divisors (588).

It is not an unprimeable number, because it can be changed into a prime (7311728639) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31928832 + ... + 31929060.

It is an arithmetic number, because the mean of its divisors is an integer number (137116800).

Almost surely, 2^7311728634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7311728634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8775475200).

7311728634 is an abundant number, since it is smaller than the sum of its proper divisors (10239221766).

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

7311728634 is a wasteful number, since it uses less digits than its factorization.

7311728634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588.

The product of its digits is 169344, while the sum is 42.

The square root of 7311728634 is about 85508.6465452471. The cubic root of 7311728634 is about 1940.9157679173.

The spelling of 7311728634 in words is "seven billion, three hundred eleven million, seven hundred twenty-eight thousand, six hundred thirty-four".