7632852480 has 320 divisors, whose sum is σ = 29580249600. Its totient is φ = 1850204160.

The previous prime is 7632852449. The next prime is 7632852481. The reversal of 7632852480 is 842582367.

7632852480 is a `hidden beast` number, since 7 + 632 + 8 + 5 + 2 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7632852481) 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, 755301 + ... + 765339.

It is an arithmetic number, because the mean of its divisors is an integer number (92438280).

Almost surely, 2^7632852480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7632852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14790124800).

7632852480 is an abundant number, since it is smaller than the sum of its proper divisors (21947397120).

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

7632852480 is a wasteful number, since it uses less digits than its factorization.

7632852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10082 (or 10060 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 7632852480 is about 87366.1975823602. The cubic root of 7632852480 is about 1968.9240158203.

The spelling of 7632852480 in words is "seven billion, six hundred thirty-two million, eight hundred fifty-two thousand, four hundred eighty".