795292073533440 has 1792 divisors, whose sum is σ = 3315103038259200. Its totient is φ = 177111208820736.

The previous prime is 795292073533427. The next prime is 795292073533457. The reversal of 795292073533440 is 44335370292597.

795292073533440 is a `hidden beast` number, since 7 + 9 + 5 + 2 + 9 + 20 + 73 + 533 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×795292073533440² (a number of 31 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82593418546 + ... + 82593428174.

Almost surely, 2^{795292073533440} is an apocalyptic number.

795292073533440 is a gapful number since it is divisible by the number (70) 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 795292073533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657551519129600).

795292073533440 is an abundant number, since it is smaller than the sum of its proper divisors (2519810964725760).

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

795292073533440 is a wasteful number, since it uses less digits than its factorization.

795292073533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9950 (or 9920 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 63.

The spelling of 795292073533440 in words is "seven hundred ninety-five trillion, two hundred ninety-two billion, seventy-three million, five hundred thirty-three thousand, four hundred forty".