795337120416384 has 3456 divisors, whose sum is σ = 3101541835392000. Its totient is φ = 201134687846400.

The previous prime is 795337120416361. The next prime is 795337120416427. The reversal of 795337120416384 is 483614021733597.

795337120416384 is a `hidden beast` number, since 7 + 9 + 5 + 3 + 37 + 1 + 204 + 16 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-3 number, since 3×795337120416384³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3300154026504 + ... + 3300154026744.

It is a 2-persistent number, because it is pandigital, and so is 2⋅795337120416384 = 1590674240832768, but 3⋅795337120416384 = 2386011361249152 is not.

Almost surely, 2^{795337120416384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 795337120416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550770917696000).

795337120416384 is an abundant number, since it is smaller than the sum of its proper divisors (2306204714975616).

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

795337120416384 is a wasteful number, since it uses less digits than its factorization.

795337120416384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 795337120416384 in words is "seven hundred ninety-five trillion, three hundred thirty-seven billion, one hundred twenty million, four hundred sixteen thousand, three hundred eighty-four".