7252806960 has 320 divisors, whose sum is σ = 28946242560. Its totient is φ = 1634826240.

The previous prime is 7252806949. The next prime is 7252806983. The reversal of 7252806960 is 696082527.

7252806960 is a `hidden beast` number, since 7 + 2 + 528 + 0 + 69 + 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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1100475 + ... + 1107045.

It is an arithmetic number, because the mean of its divisors is an integer number (90457008).

Almost surely, 2^7252806960 is an apocalyptic number.

7252806960 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 7252806960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14473121280).

7252806960 is an abundant number, since it is smaller than the sum of its proper divisors (21693435600).

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

7252806960 is a wasteful number, since it uses less digits than its factorization.

7252806960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6673 (or 6661 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7252806960 is about 85163.4132711929. The cubic root of 7252806960 is about 1935.6880673014.

The spelling of 7252806960 in words is "seven billion, two hundred fifty-two million, eight hundred six thousand, nine hundred sixty".