7560364032 has 432 divisors, whose sum is σ = 25763414040. Its totient is φ = 2113929216.

The previous prime is 7560363997. The next prime is 7560364033. The reversal of 7560364032 is 2304630657.

7560364032 is a `hidden beast` number, since 7 + 5 + 6 + 0 + 3 + 640 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6257442816 + 1302921216 = 79104^2 + 36096^2 .

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

It is not an unprimeable number, because it can be changed into a prime (7560364033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260702194 + ... + 260702222.

Almost surely, 2^7560364032 is an apocalyptic number.

7560364032 is a gapful number since it is divisible by the number (72) 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 7560364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12881707020).

7560364032 is an abundant number, since it is smaller than the sum of its proper divisors (18203050008).

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

7560364032 is a wasteful number, since it uses less digits than its factorization.

7560364032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 7560364032 is about 86950.3538348177. The cubic root of 7560364032 is about 1962.6712875338.

Adding to 7560364032 its reverse (2304630657), we get a palindrome (9864994689).

The spelling of 7560364032 in words is "seven billion, five hundred sixty million, three hundred sixty-four thousand, thirty-two".