33682074619968 has 896 divisors, whose sum is σ = 109812947353600. Its totient is φ = 10209109155840.

The previous prime is 33682074619903. The next prime is 33682074619979. The reversal of 33682074619968 is 86991647028633.

33682074619968 is a `hidden beast` number, since 3 + 368 + 2 + 0 + 74 + 6 + 199 + 6 + 8 = 666.

It is a super-2 number, since 2×33682074619968² (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 = 33682074619896 and 33682074619905.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10470024696 + ... + 10470027912.

Almost surely, 2^{33682074619968} is an apocalyptic number.

33682074619968 is a gapful number since it is divisible by the number (38) 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 33682074619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54906473676800).

33682074619968 is an abundant number, since it is smaller than the sum of its proper divisors (76130872733632).

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

33682074619968 is a wasteful number, since it uses less digits than its factorization.

33682074619968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 33682074619968 in words is "thirty-three trillion, six hundred eighty-two billion, seventy-four million, six hundred nineteen thousand, nine hundred sixty-eight".