7535755920 has 640 divisors, whose sum is σ = 31317995520. Its totient is φ = 1456005120.

The previous prime is 7535755873. The next prime is 7535755933. The reversal of 7535755920 is 295575357.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7535755920.

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 127 ways as a sum of consecutive naturals, for example, 90792199 + ... + 90792281.

It is an arithmetic number, because the mean of its divisors is an integer number (48934368).

Almost surely, 2^7535755920 is an apocalyptic number.

7535755920 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 7535755920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15658997760).

7535755920 is an abundant number, since it is smaller than the sum of its proper divisors (23782239600).

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

7535755920 is a wasteful number, since it uses less digits than its factorization.

7535755920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1653750, while the sum is 48.

The square root of 7535755920 is about 86808.7318188672. The cubic root of 7535755920 is about 1960.5395501952.

The spelling of 7535755920 in words is "seven billion, five hundred thirty-five million, seven hundred fifty-five thousand, nine hundred twenty".