32916671483904 has 624 divisors, whose sum is σ = 109344172654080. Its totient is φ = 9463383982080.

The previous prime is 32916671483903. The next prime is 32916671483921. The reversal of 32916671483904 is 40938417661923.

32916671483904 is a `hidden beast` number, since 3 + 2 + 9 + 1 + 6 + 67 + 1 + 483 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×32916671483904² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32916671483903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430791367 + ... + 430867769.

It is an arithmetic number, because the mean of its divisors is an integer number (175231045920).

Almost surely, 2^{32916671483904} 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 32916671483904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54672086327040).

32916671483904 is an abundant number, since it is smaller than the sum of its proper divisors (76427501170176).

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

32916671483904 is a wasteful number, since it uses less digits than its factorization.

32916671483904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76506 (or 76481 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 32916671483904 in words is "thirty-two trillion, nine hundred sixteen billion, six hundred seventy-one million, four hundred eighty-three thousand, nine hundred four".