874455367680 has 1296 divisors, whose sum is σ = 3515274715680. Its totient is φ = 207920037888.

The previous prime is 874455367631. The next prime is 874455367757. The reversal of 874455367680 is 86763554478.

874455367680 is a `hidden beast` number, since 8 + 7 + 4 + 4 + 553 + 6 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 71 ways as a sum of consecutive naturals, for example, 46023966711 + ... + 46023966729.

It is an arithmetic number, because the mean of its divisors is an integer number (2712403330).

Almost surely, 2^874455367680 is an apocalyptic number.

874455367680 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 874455367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757637357840).

874455367680 is an abundant number, since it is smaller than the sum of its proper divisors (2640819348000).

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

874455367680 is an frugal number, since it uses more digits than its factorization.

874455367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 874455367680 in words is "eight hundred seventy-four billion, four hundred fifty-five million, three hundred sixty-seven thousand, six hundred eighty".