32127672349680 has 160 divisors (see below), whose sum is σ = 99695925480960. Its totient is φ = 8558767825920.

The previous prime is 32127672349657. The next prime is 32127672349687. The reversal of 32127672349680 is 8694327672123.

It is a happy number.

It is a super-2 number, since 2×32127672349680² (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 (32127672349687) 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, 3050766015 + ... + 3050776545.

It is an arithmetic number, because the mean of its divisors is an integer number (623099534256).

Almost surely, 2^{32127672349680} is an apocalyptic number.

32127672349680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32127672349680 is an abundant number, since it is smaller than the sum of its proper divisors (67568253131280).

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

32127672349680 is a wasteful number, since it uses less digits than its factorization.

32127672349680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22119 (or 22113 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 60.

The spelling of 32127672349680 in words is "thirty-two trillion, one hundred twenty-seven billion, six hundred seventy-two million, three hundred forty-nine thousand, six hundred eighty".