7352845632 has 196 divisors, whose sum is σ = 23866608096. Its totient is φ = 2227979520.

The previous prime is 7352845631. The next prime is 7352845651. The reversal of 7352845632 is 2365482537.

7352845632 is a `hidden beast` number, since 7 + 3 + 5 + 2 + 8 + 4 + 5 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7352845631) 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 27 ways as a sum of consecutive naturals, for example, 506053 + ... + 520379.

Almost surely, 2^7352845632 is an apocalyptic number.

7352845632 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 7352845632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11933304048).

7352845632 is an abundant number, since it is smaller than the sum of its proper divisors (16513762464).

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

7352845632 is a wasteful number, since it uses less digits than its factorization.

7352845632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14368 (or 14343 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 7352845632 is about 85748.7354542328. The cubic root of 7352845632 is about 1944.5471710780.

The spelling of 7352845632 in words is "seven billion, three hundred fifty-two million, eight hundred forty-five thousand, six hundred thirty-two".