2927393432832 has 576 divisors, whose sum is σ = 9329481068544. Its totient is φ = 804822712320.

The previous prime is 2927393432809. The next prime is 2927393432863. The reversal of 2927393432832 is 2382343937292.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 452243548 + ... + 452250020.

It is an arithmetic number, because the mean of its divisors is an integer number (16197015744).

Almost surely, 2^{2927393432832} is an apocalyptic number.

2927393432832 is a gapful number since it is divisible by the number (22) 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 2927393432832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664740534272).

2927393432832 is an abundant number, since it is smaller than the sum of its proper divisors (6402087635712).

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

2927393432832 is a wasteful number, since it uses less digits than its factorization.

2927393432832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6634 (or 6620 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 57.

The spelling of 2927393432832 in words is "two trillion, nine hundred twenty-seven billion, three hundred ninety-three million, four hundred thirty-two thousand, eight hundred thirty-two".