32720198742 has 144 divisors (see below), whose sum is σ = 92868332544. Its totient is φ = 8224524000.

The previous prime is 32720198729. The next prime is 32720198783. The reversal of 32720198742 is 24789102723.

32720198742 is a `hidden beast` number, since 327 + 201 + 9 + 87 + 42 = 666.

It is a super-2 number, since 2×32720198742² (a number of 22 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 246367 + ... + 355157.

It is an arithmetic number, because the mean of its divisors is an integer number (644918976).

Almost surely, 2^32720198742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32720198742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46434166272).

32720198742 is an abundant number, since it is smaller than the sum of its proper divisors (60148133802).

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

32720198742 is a wasteful number, since it uses less digits than its factorization.

32720198742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108855 (or 108845 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 32720198742 in words is "thirty-two billion, seven hundred twenty million, one hundred ninety-eight thousand, seven hundred forty-two".