32878100968416 has 144 divisors (see below), whose sum is σ = 102011494411008. Its totient is φ = 9961629062400.

The previous prime is 32878100968387. The next prime is 32878100968439. The reversal of 32878100968416 is 61486900187823.

32878100968416 is a `hidden beast` number, since 3 + 2 + 87 + 81 + 0 + 0 + 9 + 68 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21405235 + ... + 22889741.

It is an arithmetic number, because the mean of its divisors is an integer number (708413155632).

Almost surely, 2^{32878100968416} is an apocalyptic number.

32878100968416 is a gapful number since it is divisible by the number (36) 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 32878100968416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51005747205504).

32878100968416 is an abundant number, since it is smaller than the sum of its proper divisors (69133393442592).

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

32878100968416 is a wasteful number, since it uses less digits than its factorization.

32878100968416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491525 (or 1491514 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 32878100968416 in words is "thirty-two trillion, eight hundred seventy-eight billion, one hundred million, nine hundred sixty-eight thousand, four hundred sixteen".