7506723642 has 64 divisors (see below), whose sum is σ = 17483351040. Its totient is φ = 2124662400.

The previous prime is 7506723641. The next prime is 7506723649. The reversal of 7506723642 is 2463276057.

It is a junction number, because it is equal to n+sod(n) for n = 7506723594 and 7506723603.

It is not an unprimeable number, because it can be changed into a prime (7506723641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46878 + ... + 131190.

It is an arithmetic number, because the mean of its divisors is an integer number (273177360).

Almost surely, 2^7506723642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7506723642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8741675520).

7506723642 is an abundant number, since it is smaller than the sum of its proper divisors (9976627398).

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

7506723642 is a wasteful number, since it uses less digits than its factorization.

7506723642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84419.

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 7506723642 is about 86641.3506473670. The cubic root of 7506723642 is about 1958.0185829532.

Adding to 7506723642 its reverse (2463276057), we get a palindrome (9969999699).

The spelling of 7506723642 in words is "seven billion, five hundred six million, seven hundred twenty-three thousand, six hundred forty-two".