874686421496160 has 4608 divisors, whose sum is σ = 3915141393945600. Its totient is φ = 176593418846208.

The previous prime is 874686421496149. The next prime is 874686421496161. The reversal of 874686421496160 is 61694124686478.

874686421496160 is a `hidden beast` number, since 8 + 7 + 4 + 6 + 86 + 42 + 1 + 496 + 16 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874686421496161) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 3403449110752 + ... + 3403449111008.

It is an arithmetic number, because the mean of its divisors is an integer number (849640059450).

Almost surely, 2^{874686421496160} is an apocalyptic number.

874686421496160 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 874686421496160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957570696972800).

874686421496160 is an abundant number, since it is smaller than the sum of its proper divisors (3040454972449440).

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

874686421496160 is a wasteful number, since it uses less digits than its factorization.

874686421496160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 874686421496160 in words is "eight hundred seventy-four trillion, six hundred eighty-six billion, four hundred twenty-one million, four hundred ninety-six thousand, one hundred sixty".