4970594880 has 168 divisors, whose sum is σ = 17207237112. Its totient is φ = 1316929536.

The previous prime is 4970594879. The next prime is 4970594899. The reversal of 4970594880 is 884950794.

4970594880 is a `hidden beast` number, since 49 + 7 + 0 + 594 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5419584 + 4965175296 = 2328^2 + 70464^2 .

It is a super-2 number, since 2×4970594880² = 49413626922164428800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446664 + ... + 457656.

Almost surely, 2^4970594880 is an apocalyptic number.

4970594880 is a gapful number since it is divisible by the number (40) 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 4970594880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8603618556).

4970594880 is an abundant number, since it is smaller than the sum of its proper divisors (12236642232).

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

4970594880 is a wasteful number, since it uses less digits than its factorization.

4970594880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11173 (or 11160 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 4970594880 is about 70502.4459150177. The cubic root of 4970594880 is about 1706.6172172630.

The spelling of 4970594880 in words is "four billion, nine hundred seventy million, five hundred ninety-four thousand, eight hundred eighty".