7453585672 has 32 divisors (see below), whose sum is σ = 15935837400. Its totient is φ = 3237755904.

The previous prime is 7453585651. The next prime is 7453585679. The reversal of 7453585672 is 2765853547.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4994814276 + 2458771396 = 70674^2 + 49586^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (7453585679) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2106147 + ... + 2109682.

Almost surely, 2^7453585672 is an apocalyptic number.

It is an amenable number.

7453585672 is an abundant number, since it is smaller than the sum of its proper divisors (8482251728).

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

7453585672 is a wasteful number, since it uses less digits than its factorization.

7453585672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215865 (or 4215861 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 52.

The square root of 7453585672 is about 86334.1512496648. The cubic root of 7453585672 is about 1953.3875521713.

The spelling of 7453585672 in words is "seven billion, four hundred fifty-three million, five hundred eighty-five thousand, six hundred seventy-two".