7458049600 has 189 divisors, whose sum is σ = 19649169363. Its totient is φ = 2785628160.

The previous prime is 7458049597. The next prime is 7458049661. The reversal of 7458049600 is 69408547.

The square root of 7458049600 is 86360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 174451264 + 7283598336 = 13208^2 + 85344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58724737 + ... + 58724863.

Almost surely, 2^7458049600 is an apocalyptic number.

7458049600 is the 86360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7458049600

7458049600 is an abundant number, since it is smaller than the sum of its proper divisors (12191119763).

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

7458049600 is a wasteful number, since it uses less digits than its factorization.

7458049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The cubic root of 7458049600 is about 1953.7774334804. Note that the first 3 decimals are identical.

The spelling of 7458049600 in words is "seven billion, four hundred fifty-eight million, forty-nine thousand, six hundred".