873344422379520 has 3696 divisors, whose sum is σ = 3994388547566592. Its totient is φ = 178322008965120.

The previous prime is 873344422379501. The next prime is 873344422379549. The reversal of 873344422379520 is 25973224443378.

873344422379520 is a `hidden beast` number, since 8 + 7 + 3 + 3 + 44 + 42 + 23 + 7 + 9 + 520 = 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 175 ways as a sum of consecutive naturals, for example, 28172400721905 + ... + 28172400721935.

Almost surely, 2^{873344422379520} is an apocalyptic number.

873344422379520 is a gapful number since it is divisible by the number (80) 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 873344422379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997194273783296).

873344422379520 is an abundant number, since it is smaller than the sum of its proper divisors (3121044125187072).

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

873344422379520 is an frugal number, since it uses more digits than its factorization.

873344422379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 63.

The spelling of 873344422379520 in words is "eight hundred seventy-three trillion, three hundred forty-four billion, four hundred twenty-two million, three hundred seventy-nine thousand, five hundred twenty".