6930167079440 has 320 divisors, whose sum is σ = 18709613936640. Its totient is φ = 2360833413120.

The previous prime is 6930167079401. The next prime is 6930167079461. The reversal of 6930167079440 is 449707610396.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664631507 + ... + 664641933.

It is an arithmetic number, because the mean of its divisors is an integer number (58467543552).

Almost surely, 2^{6930167079440} 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 6930167079440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9354806968320).

6930167079440 is an abundant number, since it is smaller than the sum of its proper divisors (11779446857200).

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

6930167079440 is a wasteful number, since it uses less digits than its factorization.

6930167079440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10910 (or 10904 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 56.

The spelling of 6930167079440 in words is "six trillion, nine hundred thirty billion, one hundred sixty-seven million, seventy-nine thousand, four hundred forty".