32212746240 has 128 divisors (see below), whose sum is σ = 103080787920. Its totient is φ = 8589934592.

The previous prime is 32212746233. The next prime is 32212746283. The reversal of 32212746240 is 4264721223.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×32212746240³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 32212746240 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458752 + ... + 524288.

Almost surely, 2^32212746240 is an apocalyptic number.

32212746240 is a gapful number since it is divisible by the number (30) 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 32212746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51540393960).

32212746240 is an abundant number, since it is smaller than the sum of its proper divisors (70868041680).

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

32212746240 is an frugal number, since it uses more digits than its factorization.

32212746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65575 (or 65547 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 32212746240 in words is "thirty-two billion, two hundred twelve million, seven hundred forty-six thousand, two hundred forty".