1795726632960 has 1152 divisors, whose sum is σ = 6941571436800. Its totient is φ = 426513530880.

The previous prime is 1795726632929. The next prime is 1795726632961. The reversal of 1795726632960 is 692366275971.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (1795726632961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6827857789 + ... + 6827858051.

It is an arithmetic number, because the mean of its divisors is an integer number (6025669650).

Almost surely, 2^{1795726632960} is an apocalyptic number.

1795726632960 is a gapful number since it is divisible by the number (10) 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 1795726632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3470785718400).

1795726632960 is an abundant number, since it is smaller than the sum of its proper divisors (5145844803840).

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

1795726632960 is a wasteful number, since it uses less digits than its factorization.

1795726632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 1795726632960 in words is "one trillion, seven hundred ninety-five billion, seven hundred twenty-six million, six hundred thirty-two thousand, nine hundred sixty".