7253949600 has 288 divisors, whose sum is σ = 26878279680. Its totient is φ = 1886976000.

The previous prime is 7253949529. The next prime is 7253949607. The reversal of 7253949600 is 69493527.

It is a happy number.

7253949600 is a `hidden beast` number, since 7 + 2 + 5 + 39 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7253949607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 881505 + ... + 889695.

It is an arithmetic number, because the mean of its divisors is an integer number (93327360).

Almost surely, 2^7253949600 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 7253949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13439139840).

7253949600 is an abundant number, since it is smaller than the sum of its proper divisors (19624330080).

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

7253949600 is a wasteful number, since it uses less digits than its factorization.

7253949600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8261 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 7253949600 is about 85170.1215215759. The cubic root of 7253949600 is about 1935.7897143135.

The spelling of 7253949600 in words is "seven billion, two hundred fifty-three million, nine hundred forty-nine thousand, six hundred".