1795459260672 has 1440 divisors, whose sum is σ = 6955542316800. Its totient is φ = 456497233920.

The previous prime is 1795459260649. The next prime is 1795459260701. The reversal of 1795459260672 is 2760629545971.

1795459260672 is a `hidden beast` number, since 1 + 7 + 9 + 545 + 9 + 26 + 0 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4146556968 + ... + 4146557400.

It is an arithmetic number, because the mean of its divisors is an integer number (4830237720).

Almost surely, 2^{1795459260672} is an apocalyptic number.

1795459260672 is a gapful number since it is divisible by the number (12) 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 1795459260672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477771158400).

1795459260672 is an abundant number, since it is smaller than the sum of its proper divisors (5160083056128).

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

1795459260672 is an equidigital number, since it uses as much as digits as its factorization.

1795459260672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 1795459260672 in words is "one trillion, seven hundred ninety-five billion, four hundred fifty-nine million, two hundred sixty thousand, six hundred seventy-two".