32772936094080 has 4096 divisors, whose sum is σ = 148386683289600. Its totient is φ = 5954693234688.

The previous prime is 32772936094079. The next prime is 32772936094081. The reversal of 32772936094080 is 8049063927723.

It is an interprime number because it is at equal distance from previous prime (32772936094079) and next prime (32772936094081).

It is a super-2 number, since 2×32772936094080² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32772936094081) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 189438936874 + ... + 189438937046.

It is an arithmetic number, because the mean of its divisors is an integer number (36227217600).

Almost surely, 2^{32772936094080} is an apocalyptic number.

32772936094080 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 32772936094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74193341644800).

32772936094080 is an abundant number, since it is smaller than the sum of its proper divisors (115613747195520).

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

32772936094080 is a wasteful number, since it uses less digits than its factorization.

32772936094080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 32772936094080 in words is "thirty-two trillion, seven hundred seventy-two billion, nine hundred thirty-six million, ninety-four thousand, eighty".