1792675129968 has 400 divisors, whose sum is σ = 5498223001920. Its totient is φ = 563013255168.

The previous prime is 1792675129967. The next prime is 1792675129991. The reversal of 1792675129968 is 8699215762971.

1792675129968 is a `hidden beast` number, since 1 + 79 + 267 + 5 + 1 + 299 + 6 + 8 = 666.

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 = 1792675129896 and 1792675129905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1792675129967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 384444405 + ... + 384449067.

Almost surely, 2^{1792675129968} is an apocalyptic number.

1792675129968 is a gapful number since it is divisible by the number (18) 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 1792675129968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749111500960).

1792675129968 is an abundant number, since it is smaller than the sum of its proper divisors (3705547871952).

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

1792675129968 is a wasteful number, since it uses less digits than its factorization.

1792675129968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958 (or 4943 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 72.

The spelling of 1792675129968 in words is "one trillion, seven hundred ninety-two billion, six hundred seventy-five million, one hundred twenty-nine thousand, nine hundred sixty-eight".