6978138765948 has 192 divisors, whose sum is σ = 20997313075200. Its totient is φ = 1987458959808.

The previous prime is 6978138765947. The next prime is 6978138765953. The reversal of 6978138765948 is 8495678318796.

6978138765948 is a `hidden beast` number, since 6 + 9 + 7 + 8 + 13 + 8 + 7 + 6 + 594 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6978138765947) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19232073 + ... + 19591551.

It is an arithmetic number, because the mean of its divisors is an integer number (109361005600).

Almost surely, 2^{6978138765948} 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 6978138765948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10498656537600).

6978138765948 is an abundant number, since it is smaller than the sum of its proper divisors (14019174309252).

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

6978138765948 is a wasteful number, since it uses less digits than its factorization.

6978138765948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359828 (or 359808 counting only the distinct ones).

The product of its digits is 4389396480, while the sum is 81.

The spelling of 6978138765948 in words is "six trillion, nine hundred seventy-eight billion, one hundred thirty-eight million, seven hundred sixty-five thousand, nine hundred forty-eight".