6971078478400 has 189 divisors, whose sum is σ = 17308175001691. Its totient is φ = 2763464903680.

The previous prime is 6971078478373. The next prime is 6971078478461. The reversal of 6971078478400 is 48748701796.

The square root of 6971078478400 is 2640280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2080540838464 + 4890537639936 = 1442408^2 + 2211456^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15736068579 + ... + 15736069021.

Almost surely, 2^{6971078478400} is an apocalyptic number.

6971078478400 is the 2640280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6971078478400

6971078478400 is an abundant number, since it is smaller than the sum of its proper divisors (10337096523291).

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

6971078478400 is an frugal number, since it uses more digits than its factorization.

6971078478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 61.

The spelling of 6971078478400 in words is "six trillion, nine hundred seventy-one billion, seventy-eight million, four hundred seventy-eight thousand, four hundred".