32816832510672 has 480 divisors, whose sum is σ = 116077498243200. Its totient is φ = 8826156638208.

The previous prime is 32816832510589. The next prime is 32816832510739. The reversal of 32816832510672 is 27601523861823.

32816832510672 is a `hidden beast` number, since 3 + 2 + 8 + 1 + 68 + 3 + 2 + 510 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62884288 + ... + 63404000.

It is an arithmetic number, because the mean of its divisors is an integer number (241828121340).

Almost surely, 2^{32816832510672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32816832510672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58038749121600).

32816832510672 is an abundant number, since it is smaller than the sum of its proper divisors (83260665732528).

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

32816832510672 is a wasteful number, since it uses less digits than its factorization.

32816832510672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519920 (or 519901 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 32816832510672 in words is "thirty-two trillion, eight hundred sixteen billion, eight hundred thirty-two million, five hundred ten thousand, six hundred seventy-two".