1795365762960 has 1280 divisors, whose sum is σ = 7331187916800. Its totient is φ = 352626892800.

The previous prime is 1795365762913. The next prime is 1795365762961. The reversal of 1795365762960 is 692675635971.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1795365762891 and 1795365762900.

It is not an unprimeable number, because it can be changed into a prime (1795365762961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7511990521 + ... + 7511990759.

It is an arithmetic number, because the mean of its divisors is an integer number (5727490560).

Almost surely, 2^{1795365762960} is an apocalyptic number.

1795365762960 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 1795365762960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665593958400).

1795365762960 is an abundant number, since it is smaller than the sum of its proper divisors (5535822153840).

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

1795365762960 is a wasteful number, since it uses less digits than its factorization.

1795365762960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 128595600, while the sum is 66.

The spelling of 1795365762960 in words is "one trillion, seven hundred ninety-five billion, three hundred sixty-five million, seven hundred sixty-two thousand, nine hundred sixty".