32753036484 has 243 divisors, whose sum is σ = 100237597551. Its totient is φ = 8990987040.

The previous prime is 32753036461. The next prime is 32753036507. The reversal of 32753036484 is 48463035723.

The square root of 32753036484 is 180978.

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

32753036484 is a `hidden beast` number, since 3 + 2 + 7 + 530 + 36 + 4 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (32753036461) and next prime (32753036507).

It is a super-2 number, since 2×32753036484² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 235633287 + ... + 235633425.

Almost surely, 2^32753036484 is an apocalyptic number.

32753036484 is the 180978-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32753036484

32753036484 is an abundant number, since it is smaller than the sum of its proper divisors (67484561067).

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

32753036484 is a wasteful number, since it uses less digits than its factorization.

32753036484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 32753036484 in words is "thirty-two billion, seven hundred fifty-three million, thirty-six thousand, four hundred eighty-four".