7522320960 has 560 divisors, whose sum is σ = 33369747840. Its totient is φ = 1562664960.

The previous prime is 7522320937. The next prime is 7522321021. The reversal of 7522320960 is 690232257.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 1993956 + ... + 1997724.

Almost surely, 2^7522320960 is an apocalyptic number.

7522320960 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 7522320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16684873920).

7522320960 is an abundant number, since it is smaller than the sum of its proper divisors (25847426880).

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

7522320960 is a wasteful number, since it uses less digits than its factorization.

7522320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 7522320960 is about 86731.3147600104. The cubic root of 7522320960 is about 1959.3737552246.

The spelling of 7522320960 in words is "seven billion, five hundred twenty-two million, three hundred twenty thousand, nine hundred sixty".