874868746752 has 1280 divisors, whose sum is σ = 3682564300800. Its totient is φ = 197366906880.

The previous prime is 874868746679. The next prime is 874868746753. The reversal of 874868746752 is 257647868478.

874868746752 is a `hidden beast` number, since 8 + 7 + 4 + 86 + 87 + 467 + 5 + 2 = 666.

It is a super-2 number, since 2×874868746752² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (874868746753) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 235241149 + ... + 235244867.

It is an arithmetic number, because the mean of its divisors is an integer number (2877003360).

Almost surely, 2^874868746752 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 874868746752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841282150400).

874868746752 is an abundant number, since it is smaller than the sum of its proper divisors (2807695554048).

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

874868746752 is a wasteful number, since it uses less digits than its factorization.

874868746752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 3772 counting only the distinct ones).

The product of its digits is 1011548160, while the sum is 72.

The spelling of 874868746752 in words is "eight hundred seventy-four billion, eight hundred sixty-eight million, seven hundred forty-six thousand, seven hundred fifty-two".