6978434371704 has 432 divisors, whose sum is σ = 20882647127160. Its totient is φ = 2104708147200.

The previous prime is 6978434371663. The next prime is 6978434371709. The reversal of 6978434371704 is 4071734348796.

6978434371704 is a `hidden beast` number, since 6 + 97 + 8 + 43 + 437 + 1 + 70 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6978434371709) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3259426474 + ... + 3259428614.

Almost surely, 2^{6978434371704} 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 6978434371704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10441323563580).

6978434371704 is an abundant number, since it is smaller than the sum of its proper divisors (13904212755456).

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

6978434371704 is a wasteful number, since it uses less digits than its factorization.

6978434371704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 6978434371704 in words is "six trillion, nine hundred seventy-eight billion, four hundred thirty-four million, three hundred seventy-one thousand, seven hundred four".