874107666432 has 1920 divisors, whose sum is σ = 3644886833280. Its totient is φ = 205117194240.

The previous prime is 874107666431. The next prime is 874107666433. The reversal of 874107666432 is 234666701478.

It is an interprime number because it is at equal distance from previous prime (874107666431) and next prime (874107666433).

It is a super-2 number, since 2×874107666432² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874107666431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18598035433 + ... + 18598035479.

It is an arithmetic number, because the mean of its divisors is an integer number (1898378559).

Almost surely, 2^874107666432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874107666432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822443416640).

874107666432 is an abundant number, since it is smaller than the sum of its proper divisors (2770779166848).

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

874107666432 is a wasteful number, since it uses less digits than its factorization.

874107666432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 874107666432 in words is "eight hundred seventy-four billion, one hundred seven million, six hundred sixty-six thousand, four hundred thirty-two".