9878057006664 has 768 divisors, whose sum is σ = 32387777786880. Its totient is φ = 2481524398080.

The previous prime is 9878057006659. The next prime is 9878057006677. The reversal of 9878057006664 is 4666007508789.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 9878057006595 and 9878057006604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17545394047 + ... + 17545394609.

It is an arithmetic number, because the mean of its divisors is an integer number (42171585660).

Almost surely, 2^{9878057006664} 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 9878057006664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16193888893440).

9878057006664 is an abundant number, since it is smaller than the sum of its proper divisors (22509720780216).

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

9878057006664 is a wasteful number, since it uses less digits than its factorization.

9878057006664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 66.

The spelling of 9878057006664 in words is "nine trillion, eight hundred seventy-eight billion, fifty-seven million, six thousand, six hundred sixty-four".