33672836846880 has 1536 divisors, whose sum is σ = 155734532997120. Its totient is φ = 6578799575040.

The previous prime is 33672836846867. The next prime is 33672836846933. The reversal of 33672836846880 is 8864863827633.

33672836846880 is a `hidden beast` number, since 3 + 3 + 6 + 7 + 2 + 83 + 6 + 8 + 468 + 80 = 666.

It is a super-2 number, since 2×33672836846880² (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 junction number, because it is equal to n+sod(n) for n = 33672836846799 and 33672836846808.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7221279429 + ... + 7221284091.

It is an arithmetic number, because the mean of its divisors is an integer number (101389669920).

Almost surely, 2^{33672836846880} is an apocalyptic number.

33672836846880 is a gapful number since it is divisible by the number (30) 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 33672836846880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77867266498560).

33672836846880 is an abundant number, since it is smaller than the sum of its proper divisors (122061696150240).

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

33672836846880 is a wasteful number, since it uses less digits than its factorization.

33672836846880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5999 (or 5985 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 72.

The spelling of 33672836846880 in words is "thirty-three trillion, six hundred seventy-two billion, eight hundred thirty-six million, eight hundred forty-six thousand, eight hundred eighty".