7522789680 has 960 divisors, whose sum is σ = 33068062080. Its totient is φ = 1560674304.

The previous prime is 7522789667. The next prime is 7522789691. The reversal of 7522789680 is 869872257.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66573304 + ... + 66573416.

It is an arithmetic number, because the mean of its divisors is an integer number (34445898).

Almost surely, 2^7522789680 is an apocalyptic number.

7522789680 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 7522789680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16534031040).

7522789680 is an abundant number, since it is smaller than the sum of its proper divisors (25545272400).

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

7522789680 is a wasteful number, since it uses less digits than its factorization.

7522789680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 7522789680 is about 86734.0168561332. The cubic root of 7522789680 is about 1959.4144509353.

The spelling of 7522789680 in words is "seven billion, five hundred twenty-two million, seven hundred eighty-nine thousand, six hundred eighty".