1795136640 has 192 divisors, whose sum is σ = 6290282880. Its totient is φ = 435128320.

The previous prime is 1795136639. The next prime is 1795136687. The reversal of 1795136640 is 466315971.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 1795136592 and 1795136601.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 228457 + ... + 236183.

It is an arithmetic number, because the mean of its divisors is an integer number (32761890).

Almost surely, 2^1795136640 is an apocalyptic number.

1795136640 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 1795136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145141440).

1795136640 is an abundant number, since it is smaller than the sum of its proper divisors (4495146240).

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

1795136640 is a wasteful number, since it uses less digits than its factorization.

1795136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7771 (or 7748 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 1795136640 is about 42369.0528570087. The cubic root of 1795136640 is about 1215.3438576959.

The spelling of 1795136640 in words is "one billion, seven hundred ninety-five million, one hundred thirty-six thousand, six hundred forty".