7521745984 has 63 divisors (see below), whose sum is σ = 15392806527. Its totient is φ = 3646738944.

The previous prime is 7521745969. The next prime is 7521745991. The reversal of 7521745984 is 4895471257.

The square root of 7521745984 is 86728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5368785984 + 2152960000 = 73272^2 + 46400^2 .

It is a Duffinian number.

Its product of digits (2822400) is a multiple of the sum of its prime factors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25671342 + ... + 25671634.

Almost surely, 2^7521745984 is an apocalyptic number.

7521745984 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

7521745984 is the 86728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7521745984

7521745984 is an abundant number, since it is smaller than the sum of its proper divisors (7871060543).

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

7521745984 is an frugal number, since it uses more digits than its factorization.

7521745984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 332 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 52.

The cubic root of 7521745984 is about 1959.3238317326.

The spelling of 7521745984 in words is "seven billion, five hundred twenty-one million, seven hundred forty-five thousand, nine hundred eighty-four".