878196743424 has 1152 divisors, whose sum is σ = 3532157583360. Its totient is φ = 210422292480.

The previous prime is 878196743393. The next prime is 878196743449. The reversal of 878196743424 is 424347691878.

878196743424 is a `hidden beast` number, since 8 + 7 + 8 + 196 + 7 + 434 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 560431089 + ... + 560432655.

Almost surely, 2^878196743424 is an apocalyptic number.

878196743424 is a gapful number since it is divisible by the number (84) 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 878196743424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766078791680).

878196743424 is an abundant number, since it is smaller than the sum of its proper divisors (2653960839936).

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

878196743424 is a wasteful number, since it uses less digits than its factorization.

878196743424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1603 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 878196743424 in words is "eight hundred seventy-eight billion, one hundred ninety-six million, seven hundred forty-three thousand, four hundred twenty-four".