992170757376 has 432 divisors, whose sum is σ = 3155731959744. Its totient is φ = 309823045632.

The previous prime is 992170757231. The next prime is 992170757377. The reversal of 992170757376 is 673757071299.

992170757376 is a `hidden beast` number, since 9 + 92 + 170 + 7 + 5 + 7 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992170757377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240058606 + ... + 240062738.

It is an arithmetic number, because the mean of its divisors is an integer number (7304935092).

Almost surely, 2^992170757376 is an apocalyptic number.

992170757376 is a gapful number since it is divisible by the number (96) 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 992170757376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577865979872).

992170757376 is an abundant number, since it is smaller than the sum of its proper divisors (2163561202368).

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

992170757376 is a wasteful number, since it uses less digits than its factorization.

992170757376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 35006580, while the sum is 63.

The spelling of 992170757376 in words is "nine hundred ninety-two billion, one hundred seventy million, seven hundred fifty-seven thousand, three hundred seventy-six".