6966062848900 has 27 divisors (see below), whose sum is σ = 15116413655791. Its totient is φ = 2786414582240.

The previous prime is 6966062848883. The next prime is 6966062848919. The reversal of 6966062848900 is 98482606696.

The square root of 6966062848900 is 2639330.

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 2030414105476 + 4935648743424 = 1424926^2 + 2221632^2 .

It is a super-2 number, since 2×6966062848900² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26261334 + ... + 26525266.

Almost surely, 2^{6966062848900} is an apocalyptic number.

6966062848900 is the 2639330-th square number.

It is an amenable number.

6966062848900 is an abundant number, since it is smaller than the sum of its proper divisors (8150350806891).

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

6966062848900 is an frugal number, since it uses more digits than its factorization.

6966062848900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527880 (or 263940 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 64.

Multiplying 6966062848900 by its sum of digits (64), we get a square (445828022329600 = 21114640²).

The spelling of 6966062848900 in words is "six trillion, nine hundred sixty-six billion, sixty-two million, eight hundred forty-eight thousand, nine hundred".