32734509502464 has 2457 divisors, whose sum is σ = 128479606701579. Its totient is φ = 8304738140160.

The previous prime is 32734509502441. The next prime is 32734509502511. The reversal of 32734509502464 is 46420590543723.

The square root of 32734509502464 is 5721408.

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

32734509502464 is a `hidden beast` number, since 3 + 2 + 7 + 3 + 4 + 509 + 50 + 24 + 64 = 666.

It is a super-2 number, since 2×32734509502464² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 32734509502464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 761267662827 + ... + 761267662869.

Almost surely, 2^{32734509502464} is an apocalyptic number.

32734509502464 is the 5721408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32734509502464

32734509502464 is an abundant number, since it is smaller than the sum of its proper divisors (95745097199115).

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

32734509502464 is an frugal number, since it uses more digits than its factorization.

32734509502464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 32734509502464 in words is "thirty-two trillion, seven hundred thirty-four billion, five hundred nine million, five hundred two thousand, four hundred sixty-four".