6634694124100 has 243 divisors, whose sum is σ = 17320136309469. Its totient is φ = 2199518596800.

The previous prime is 6634694124089. The next prime is 6634694124221. The reversal of 6634694124100 is 14214964366.

The square root of 6634694124100 is 2575790.

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., 2388489884676 + 4246204239424 = 1545474^2 + 2060632^2 .

It is a super-2 number, since 2×6634694124100² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5589463707 + ... + 5589464893.

Almost surely, 2^{6634694124100} is an apocalyptic number.

6634694124100 is the 2575790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6634694124100

6634694124100 is an abundant number, since it is smaller than the sum of its proper divisors (10685442185369).

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

6634694124100 is a wasteful number, since it uses less digits than its factorization.

6634694124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 6634694124100 in words is "six trillion, six hundred thirty-four billion, six hundred ninety-four million, one hundred twenty-four thousand, one hundred".