7253784160 has 192 divisors, whose sum is σ = 20654548992. Its totient is φ = 2353545216.

The previous prime is 7253784133. The next prime is 7253784163. The reversal of 7253784160 is 614873527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7253784163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2497269 + ... + 2500171.

It is an arithmetic number, because the mean of its divisors is an integer number (107575776).

Almost surely, 2^7253784160 is an apocalyptic number.

7253784160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7253784160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10327274496).

7253784160 is an abundant number, since it is smaller than the sum of its proper divisors (13400764832).

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

7253784160 is a wasteful number, since it uses less digits than its factorization.

7253784160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The square root of 7253784160 is about 85169.1502834213. The cubic root of 7253784160 is about 1935.7749977567.

The spelling of 7253784160 in words is "seven billion, two hundred fifty-three million, seven hundred eighty-four thousand, one hundred sixty".