795652146432 has 1152 divisors, whose sum is σ = 2980093132800. Its totient is φ = 205833830400.

The previous prime is 795652146371. The next prime is 795652146467. The reversal of 795652146432 is 234641256597.

It is a happy number.

795652146432 is a `hidden beast` number, since 7 + 9 + 5 + 65 + 2 + 146 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 704740044 + ... + 704741172.

It is an arithmetic number, because the mean of its divisors is an integer number (2586886400).

Almost surely, 2^795652146432 is an apocalyptic number.

795652146432 is a gapful number since it is divisible by the number (72) 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 795652146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490046566400).

795652146432 is an abundant number, since it is smaller than the sum of its proper divisors (2184440986368).

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

795652146432 is a wasteful number, since it uses less digits than its factorization.

795652146432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1212 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 795652146432 in words is "seven hundred ninety-five billion, six hundred fifty-two million, one hundred forty-six thousand, four hundred thirty-two".