33763774968 has 672 divisors, whose sum is σ = 125957669760. Its totient is φ = 8370552960.

The previous prime is 33763774951. The next prime is 33763775039. The reversal of 33763774968 is 86947736733.

33763774968 is a `hidden beast` number, since 3 + 3 + 76 + 3 + 77 + 496 + 8 = 666.

It is a super-2 number, since 2×33763774968² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 167 ways as a sum of consecutive naturals, for example, 72299071 + ... + 72299537.

Almost surely, 2^33763774968 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 33763774968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62978834880).

33763774968 is an abundant number, since it is smaller than the sum of its proper divisors (92193894792).

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

33763774968 is a wasteful number, since it uses less digits than its factorization.

33763774968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 513 counting only the distinct ones).

The product of its digits is 96018048, while the sum is 63.

The spelling of 33763774968 in words is "thirty-three billion, seven hundred sixty-three million, seven hundred seventy-four thousand, nine hundred sixty-eight".