32968867732416 has 1344 divisors, whose sum is σ = 128518801981440. Its totient is φ = 7820292096000.

The previous prime is 32968867732403. The next prime is 32968867732439. The reversal of 32968867732416 is 61423776886923.

32968867732416 is a `hidden beast` number, since 3 + 2 + 9 + 6 + 88 + 67 + 73 + 2 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7079419560 + ... + 7079424216.

Almost surely, 2^{32968867732416} is an apocalyptic number.

32968867732416 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 32968867732416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64259400990720).

32968867732416 is an abundant number, since it is smaller than the sum of its proper divisors (95549934249024).

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

32968867732416 is a wasteful number, since it uses less digits than its factorization.

32968867732416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5014 (or 5001 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 32968867732416 in words is "thirty-two trillion, nine hundred sixty-eight billion, eight hundred sixty-seven million, seven hundred thirty-two thousand, four hundred sixteen".