616287801600 has 243 divisors, whose sum is σ = 2204041796229. Its totient is φ = 164293171200.

The previous prime is 616287801533. The next prime is 616287801611. The reversal of 616287801600 is 6108782616.

It is a happy number.

The square root of 616287801600 is 785040.

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

616287801600 is a `hidden beast` number, since 6 + 1 + 628 + 7 + 8 + 0 + 16 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 221863608576 + 394424193024 = 471024^2 + 628032^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 188407965 + ... + 188411235.

Almost surely, 2^616287801600 is an apocalyptic number.

616287801600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

616287801600 is the 785040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616287801600

616287801600 is an abundant number, since it is smaller than the sum of its proper divisors (1587753994629).

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

616287801600 is an frugal number, since it uses more digits than its factorization.

616287801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6574 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 616287801600 in words is "six hundred sixteen billion, two hundred eighty-seven million, eight hundred one thousand, six hundred".