6657380436100 has 27 divisors (see below), whose sum is σ = 14446571536677. Its totient is φ = 2662941853680.

The previous prime is 6657380436089. The next prime is 6657380436103. The reversal of 6657380436100 is 16340837566.

The square root of 6657380436100 is 2580190.

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

It can be written as a sum of positive squares in only one way, i.e., 2396656956996 + 4260723479104 = 1548114^2 + 2064152^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6657380436103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25672891 + ... + 25930909.

Almost surely, 2^{6657380436100} is an apocalyptic number.

6657380436100 is the 2580190-th square number.

It is an amenable number.

6657380436100 is an abundant number, since it is smaller than the sum of its proper divisors (7789191100577).

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

6657380436100 is an frugal number, since it uses more digits than its factorization.

6657380436100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516052 (or 258026 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 6657380436100 by its sum of digits (49), we get a square (326211641368900 = 18061330²).

The spelling of 6657380436100 in words is "six trillion, six hundred fifty-seven billion, three hundred eighty million, four hundred thirty-six thousand, one hundred".