879444368006400 has 2592 divisors, whose sum is σ = 3720833872723968. Its totient is φ = 194011324416000.

The previous prime is 879444368006371. The next prime is 879444368006401. The reversal of 879444368006400 is 4600863444978.

879444368006400 is a `hidden beast` number, since 8 + 7 + 94 + 443 + 68 + 0 + 0 + 6 + 40 + 0 = 666.

879444368006400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879444368006401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 675975685750 + ... + 675975687050.

Almost surely, 2^{879444368006400} is an apocalyptic number.

879444368006400 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 879444368006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860416936361984).

879444368006400 is an abundant number, since it is smaller than the sum of its proper divisors (2841389504717568).

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

879444368006400 is a wasteful number, since it uses less digits than its factorization.

879444368006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 879444368006400 in words is "eight hundred seventy-nine trillion, four hundred forty-four billion, three hundred sixty-eight million, six thousand, four hundred".