6970484880 has 180 divisors, whose sum is σ = 24472592508. Its totient is φ = 1777881600.

The previous prime is 6970484879. The next prime is 6970484923. The reversal of 6970484880 is 884840796.

It can be written as a sum of positive squares in 2 ways, for example, as 955551744 + 6014933136 = 30912^2 + 77556^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×6970484880³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 371730 + ... + 390030.

Almost surely, 2^6970484880 is an apocalyptic number.

6970484880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6970484880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12236296254).

6970484880 is an abundant number, since it is smaller than the sum of its proper divisors (17502107628).

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

6970484880 is a wasteful number, since it uses less digits than its factorization.

6970484880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18366 (or 18334 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 6970484880 is about 83489.4297501187. The cubic root of 6970484880 is about 1910.2388049685.

The spelling of 6970484880 in words is "six billion, nine hundred seventy million, four hundred eighty-four thousand, eight hundred eighty".