878237047793664 has 4608 divisors, whose sum is σ = 3315039436800000. Its totient is φ = 227883419172864.

The previous prime is 878237047793641. The next prime is 878237047793717. The reversal of 878237047793664 is 466397740732878.

878237047793664 is a `hidden beast` number, since 8 + 7 + 82 + 3 + 7 + 0 + 477 + 9 + 3 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6915252344769 + ... + 6915252344895.

It is an arithmetic number, because the mean of its divisors is an integer number (719409600000).

Almost surely, 2^{878237047793664} 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 878237047793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657519718400000).

878237047793664 is an abundant number, since it is smaller than the sum of its proper divisors (2436802389006336).

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

878237047793664 is a wasteful number, since it uses less digits than its factorization.

878237047793664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 14338695168, while the sum is 81.

The spelling of 878237047793664 in words is "eight hundred seventy-eight trillion, two hundred thirty-seven billion, forty-seven million, seven hundred ninety-three thousand, six hundred sixty-four".