823764124032 has 128 divisors (see below), whose sum is σ = 2352294950400. Its totient is φ = 254601123840.

The previous prime is 823764123997. The next prime is 823764124037. The reversal of 823764124032 is 230421467328.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823764124037) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 858219 + ... + 1544042.

It is an arithmetic number, because the mean of its divisors is an integer number (18377304300).

Almost surely, 2^823764124032 is an apocalyptic number.

It is an amenable number.

823764124032 is an abundant number, since it is smaller than the sum of its proper divisors (1528530826368).

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

823764124032 is a wasteful number, since it uses less digits than its factorization.

823764124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402344 (or 2402332 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 823764124032 in words is "eight hundred twenty-three billion, seven hundred sixty-four million, one hundred twenty-four thousand, thirty-two".