32874209920832 has 224 divisors, whose sum is σ = 76012390967040. Its totient is φ = 13814868049920.

The previous prime is 32874209920831. The next prime is 32874209920939. The reversal of 32874209920832 is 23802990247823.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32874209920831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19235932394 + ... + 19235934102.

Almost surely, 2^{32874209920832} is an apocalyptic number.

32874209920832 is a gapful number since it is divisible by the number (32) 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 32874209920832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38006195483520).

32874209920832 is an abundant number, since it is smaller than the sum of its proper divisors (43138181046208).

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

32874209920832 is a wasteful number, since it uses less digits than its factorization.

32874209920832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 59.

The spelling of 32874209920832 in words is "thirty-two trillion, eight hundred seventy-four billion, two hundred nine million, nine hundred twenty thousand, eight hundred thirty-two".