874236778272000 has 4608 divisors, whose sum is σ = 3852157720320000. Its totient is φ = 193628897280000.

The previous prime is 874236778271963. The next prime is 874236778272041. The reversal of 874236778272000 is 272877632478.

It is a happy number.

874236778272000 is a `hidden beast` number, since 8 + 7 + 42 + 367 + 7 + 8 + 27 + 200 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3111162911860 + ... + 3111162912140.

It is an arithmetic number, because the mean of its divisors is an integer number (835971727500).

Almost surely, 2^{874236778272000} is an apocalyptic number.

874236778272000 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 874236778272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926078860160000).

874236778272000 is an abundant number, since it is smaller than the sum of its proper divisors (2977920942048000).

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

874236778272000 is a wasteful number, since it uses less digits than its factorization.

874236778272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 88510464, while the sum is 63.

The spelling of 874236778272000 in words is "eight hundred seventy-four trillion, two hundred thirty-six billion, seven hundred seventy-eight million, two hundred seventy-two thousand".