4961793600 has 189 divisors, whose sum is σ = 17665480417. Its totient is φ = 1320890880.

The previous prime is 4961793539. The next prime is 4961793649. The reversal of 4961793600 is 63971694.

The square root of 4961793600 is 70440.

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

4961793600 is a `hidden beast` number, since 496 + 17 + 93 + 60 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1786245696 + 3175547904 = 42264^2 + 56352^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8452507 + ... + 8453093.

Almost surely, 2^4961793600 is an apocalyptic number.

4961793600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4961793600 is the 70440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4961793600

4961793600 is an abundant number, since it is smaller than the sum of its proper divisors (12703686817).

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

4961793600 is an equidigital number, since it uses as much as digits as its factorization.

4961793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The cubic root of 4961793600 is about 1705.6093372223.

The spelling of 4961793600 in words is "four billion, nine hundred sixty-one million, seven hundred ninety-three thousand, six hundred".