874972200960 has 1440 divisors, whose sum is σ = 3665177163648. Its totient is φ = 190253629440.

The previous prime is 874972200941. The next prime is 874972200967. The reversal of 874972200960 is 69002279478.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 874972200897 and 874972200906.

It is not an unprimeable number, because it can be changed into a prime (874972200967) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4533534624 + ... + 4533534816.

Almost surely, 2^874972200960 is an apocalyptic number.

874972200960 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 874972200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832588581824).

874972200960 is an abundant number, since it is smaller than the sum of its proper divisors (2790204962688).

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

874972200960 is a wasteful number, since it uses less digits than its factorization.

874972200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 874972200960 in words is "eight hundred seventy-four billion, nine hundred seventy-two million, two hundred thousand, nine hundred sixty".