2132064752832 has 1176 divisors, whose sum is σ = 7875247749600. Its totient is φ = 572084674560.

The previous prime is 2132064752791. The next prime is 2132064752837. The reversal of 2132064752832 is 2382574602312.

2132064752832 is a `hidden beast` number, since 2 + 1 + 32 + 0 + 64 + 7 + 528 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a super-2 number, since 2×2132064752832² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2132064752837) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 4624869082 + ... + 4624869542.

Almost surely, 2^{2132064752832} 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 2132064752832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937623874800).

2132064752832 is an abundant number, since it is smaller than the sum of its proper divisors (5743182996768).

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

2132064752832 is an frugal number, since it uses more digits than its factorization.

2132064752832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2132064752832 in words is "two trillion, one hundred thirty-two billion, sixty-four million, seven hundred fifty-two thousand, eight hundred thirty-two".