7975403520 has 544 divisors, whose sum is σ = 31205383680. Its totient is φ = 1698693120.

The previous prime is 7975403509. The next prime is 7975403521. The reversal of 7975403520 is 253045797.

It is a super-2 number, since 2×7975403520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7975403521) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 130744290 + ... + 130744350.

Almost surely, 2^7975403520 is an apocalyptic number.

7975403520 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 7975403520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602691840).

7975403520 is an abundant number, since it is smaller than the sum of its proper divisors (23229980160).

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

7975403520 is an equidigital number, since it uses as much as digits as its factorization.

7975403520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 7975403520 is about 89305.1147471409. The cubic root of 7975403520 is about 1997.9481890892.

The spelling of 7975403520 in words is "seven billion, nine hundred seventy-five million, four hundred three thousand, five hundred twenty".