874032223680 has 1680 divisors, whose sum is σ = 4004197138656. Its totient is φ = 178920161280.

The previous prime is 874032223679. The next prime is 874032223681. The reversal of 874032223680 is 86322230478.

874032223680 is a `hidden beast` number, since 8 + 7 + 403 + 2 + 2 + 236 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (874032223679) and next prime (874032223681).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874032223681) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1019873812 + ... + 1019874668.

Almost surely, 2^874032223680 is an apocalyptic number.

874032223680 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 874032223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002098569328).

874032223680 is an abundant number, since it is smaller than the sum of its proper divisors (3130164914976).

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

874032223680 is a wasteful number, since it uses less digits than its factorization.

874032223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 874032223680 in words is "eight hundred seventy-four billion, thirty-two million, two hundred twenty-three thousand, six hundred eighty".