32114949272640 has 1344 divisors, whose sum is σ = 122615224123392. Its totient is φ = 7666812518400.

The previous prime is 32114949272597. The next prime is 32114949272641. The reversal of 32114949272640 is 4627294941123.

32114949272640 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 49 + 492 + 72 + 6 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (32114949272641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76282539630 + ... + 76282540050.

It is an arithmetic number, because the mean of its divisors is an integer number (91231565568).

Almost surely, 2^{32114949272640} is an apocalyptic number.

32114949272640 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 32114949272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61307612061696).

32114949272640 is an abundant number, since it is smaller than the sum of its proper divisors (90500274850752).

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

32114949272640 is a wasteful number, since it uses less digits than its factorization.

32114949272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 32114949272640 in words is "thirty-two trillion, one hundred fourteen billion, nine hundred forty-nine million, two hundred seventy-two thousand, six hundred forty".