83733608880768 has 384 divisors, whose sum is σ = 282386446050240. Its totient is φ = 21738582835200.

The previous prime is 83733608880751. The next prime is 83733608880769. The reversal of 83733608880768 is 86708880633738.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×83733608880768² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83733608880768.

It is not an unprimeable number, because it can be changed into a prime (83733608880769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437244558 + ... + 437436018.

Almost surely, 2^{83733608880768} is an apocalyptic number.

83733608880768 is a gapful number since it is divisible by the number (88) 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 83733608880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141193223025120).

83733608880768 is an abundant number, since it is smaller than the sum of its proper divisors (198652837169472).

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

83733608880768 is a wasteful number, since it uses less digits than its factorization.

83733608880768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193616 (or 193597 counting only the distinct ones).

The product of its (nonzero) digits is 1560674304, while the sum is 75.

The spelling of 83733608880768 in words is "eighty-three trillion, seven hundred thirty-three billion, six hundred eight million, eight hundred eighty thousand, seven hundred sixty-eight".