532972941984 has 864 divisors, whose sum is σ = 1941110510976. Its totient is φ = 143125678080.

The previous prime is 532972941979. The next prime is 532972942013. The reversal of 532972941984 is 489149279235.

532972941984 is a `hidden beast` number, since 5 + 32 + 97 + 29 + 419 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (39191040) is a multiple of the sum of its prime factors (1120).

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 143 ways as a sum of consecutive naturals, for example, 534576174 + ... + 534577170.

It is an arithmetic number, because the mean of its divisors is an integer number (2246655684).

Almost surely, 2^532972941984 is an apocalyptic number.

532972941984 is a gapful number since it is divisible by the number (54) 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 532972941984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970555255488).

532972941984 is an abundant number, since it is smaller than the sum of its proper divisors (1408137568992).

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

532972941984 is a wasteful number, since it uses less digits than its factorization.

532972941984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1093 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 532972941984 in words is "five hundred thirty-two billion, nine hundred seventy-two million, nine hundred forty-one thousand, nine hundred eighty-four".