879769476144 has 320 divisors, whose sum is σ = 2739924633600. Its totient is φ = 268675273728.

The previous prime is 879769476143. The next prime is 879769476149. The reversal of 879769476144 is 441674967978.

879769476144 is a `hidden beast` number, since 8 + 7 + 9 + 7 + 6 + 9 + 476 + 144 = 666.

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 (879769476143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468210597 + ... + 468212475.

It is an arithmetic number, because the mean of its divisors is an integer number (8562264480).

Almost surely, 2^879769476144 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 879769476144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369962316800).

879769476144 is an abundant number, since it is smaller than the sum of its proper divisors (1860155157456).

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

879769476144 is a wasteful number, since it uses less digits than its factorization.

879769476144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2477 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 879769476144 in words is "eight hundred seventy-nine billion, seven hundred sixty-nine million, four hundred seventy-six thousand, one hundred forty-four".