9870693378048 has 768 divisors, whose sum is σ = 32633782272000. Its totient is φ = 2934625075200.

The previous prime is 9870693378031. The next prime is 9870693378053. The reversal of 9870693378048 is 8408733960789.

9870693378048 is a `hidden beast` number, since 98 + 70 + 69 + 3 + 378 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1205061633 + ... + 1205069823.

It is an arithmetic number, because the mean of its divisors is an integer number (42491904000).

Almost surely, 2^{9870693378048} 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 9870693378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16316891136000).

9870693378048 is an abundant number, since it is smaller than the sum of its proper divisors (22763088893952).

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

9870693378048 is a wasteful number, since it uses less digits than its factorization.

9870693378048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8309 (or 8283 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 9870693378048 in words is "nine trillion, eight hundred seventy billion, six hundred ninety-three million, three hundred seventy-eight thousand, forty-eight".