878142746210688 has 576 divisors, whose sum is σ = 3022404926720400. Its totient is φ = 243838039302144.

The previous prime is 878142746210671. The next prime is 878142746210699. The reversal of 878142746210688 is 886012647241878.

878142746210688 is a `hidden beast` number, since 8 + 7 + 8 + 142 + 7 + 462 + 10 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×878142746210688² (a number of 31 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1831441443 + ... + 1831920861.

Almost surely, 2^{878142746210688} 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 878142746210688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511202463360200).

878142746210688 is an abundant number, since it is smaller than the sum of its proper divisors (2144262180509712).

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

878142746210688 is a wasteful number, since it uses less digits than its factorization.

878142746210688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480367 (or 480345 counting only the distinct ones).

The product of its (nonzero) digits is 462422016, while the sum is 72.

The spelling of 878142746210688 in words is "eight hundred seventy-eight trillion, one hundred forty-two billion, seven hundred forty-six million, two hundred ten thousand, six hundred eighty-eight".