7368960500 has 108 divisors (see below), whose sum is σ = 17740722636. Its totient is φ = 2671944000.

The previous prime is 7368960451. The next prime is 7368960503. The reversal of 7368960500 is 50698637.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 924403216 + 6444557284 = 30404^2 + 80278^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7368960503) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21114326 + ... + 21114674.

Almost surely, 2^7368960500 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 7368960500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870361318).

7368960500 is an abundant number, since it is smaller than the sum of its proper divisors (10371762136).

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

7368960500 is a wasteful number, since it uses less digits than its factorization.

7368960500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 7368960500 is about 85842.6496562169. The cubic root of 7368960500 is about 1945.9667238051.

The spelling of 7368960500 in words is "seven billion, three hundred sixty-eight million, nine hundred sixty thousand, five hundred".