32724799842816 has 640 divisors, whose sum is σ = 108126713376000. Its totient is φ = 9711598436352.

The previous prime is 32724799842739. The next prime is 32724799842841. The reversal of 32724799842816 is 61824899742723.

It is a happy number.

32724799842816 is a `hidden beast` number, since 3 + 2 + 72 + 47 + 9 + 98 + 428 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 3165787600 + ... + 3165797936.

It is an arithmetic number, because the mean of its divisors is an integer number (168947989650).

Almost surely, 2^{32724799842816} is an apocalyptic number.

32724799842816 is a gapful number since it is divisible by the number (36) 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 32724799842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54063356688000).

32724799842816 is an abundant number, since it is smaller than the sum of its proper divisors (75401913533184).

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

32724799842816 is a wasteful number, since it uses less digits than its factorization.

32724799842816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11109 (or 11087 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 32724799842816 in words is "thirty-two trillion, seven hundred twenty-four billion, seven hundred ninety-nine million, eight hundred forty-two thousand, eight hundred sixteen".