33471995772672 has 360 divisors, whose sum is σ = 100635457932240. Its totient is φ = 11064882216960.

The previous prime is 33471995772661. The next prime is 33471995772673. The reversal of 33471995772672 is 27627759917433.

33471995772672 is a `hidden beast` number, since 3 + 3 + 47 + 1 + 9 + 9 + 577 + 2 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×33471995772672² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 33471995772672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33471995772673) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5511605028 + ... + 5511611100.

Almost surely, 2^{33471995772672} is an apocalyptic number.

33471995772672 is a gapful number since it is divisible by the number (32) 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 33471995772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50317728966120).

33471995772672 is an abundant number, since it is smaller than the sum of its proper divisors (67163462159568).

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

33471995772672 is a wasteful number, since it uses less digits than its factorization.

33471995772672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8261 (or 8238 counting only the distinct ones).

The product of its digits is 840157920, while the sum is 72.

The spelling of 33471995772672 in words is "thirty-three trillion, four hundred seventy-one billion, nine hundred ninety-five million, seven hundred seventy-two thousand, six hundred seventy-two".