7253705088 has 512 divisors, whose sum is σ = 26425344000. Its totient is φ = 1912522752.

The previous prime is 7253705083. The next prime is 7253705101. The reversal of 7253705088 is 8805073527.

7253705088 is a `hidden beast` number, since 72 + 5 + 3 + 70 + 508 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7253705083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19764681 + ... + 19765047.

It is an arithmetic number, because the mean of its divisors is an integer number (51612000).

Almost surely, 2^7253705088 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 7253705088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13212672000).

7253705088 is an abundant number, since it is smaller than the sum of its proper divisors (19171638912).

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

7253705088 is a wasteful number, since it uses less digits than its factorization.

7253705088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 7253705088 is about 85168.6860765152. The cubic root of 7253705088 is about 1935.7679639036.

The spelling of 7253705088 in words is "seven billion, two hundred fifty-three million, seven hundred five thousand, eighty-eight".