7252169760 has 576 divisors, whose sum is σ = 28953759744. Its totient is φ = 1698278400.

The previous prime is 7252169759. The next prime is 7252169777. The reversal of 7252169760 is 679612527.

7252169760 is a `hidden beast` number, since 7 + 2 + 521 + 69 + 7 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13257807 + ... + 13258353.

It is an arithmetic number, because the mean of its divisors is an integer number (50266944).

Almost surely, 2^7252169760 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 7252169760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14476879872).

7252169760 is an abundant number, since it is smaller than the sum of its proper divisors (21701589984).

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

7252169760 is a wasteful number, since it uses less digits than its factorization.

7252169760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 7252169760 is about 85159.6721459166. The cubic root of 7252169760 is about 1935.6313786030.

The spelling of 7252169760 in words is "seven billion, two hundred fifty-two million, one hundred sixty-nine thousand, seven hundred sixty".