6450939616900 has 27 divisors (see below), whose sum is σ = 13998594084069. Its totient is φ = 2580365687280.

The previous prime is 6450939616871. The next prime is 6450939616903. The reversal of 6450939616900 is 96169390546.

The square root of 6450939616900 is 2539870.

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., 2322338262084 + 4128601354816 = 1523922^2 + 2031896^2 .

It is a super-2 number, since 2×6450939616900² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6450939616903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25271707 + ... + 25525693.

Almost surely, 2^{6450939616900} is an apocalyptic number.

6450939616900 is the 2539870-th square number.

It is an amenable number.

6450939616900 is an abundant number, since it is smaller than the sum of its proper divisors (7547654467169).

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

6450939616900 is an frugal number, since it uses more digits than its factorization.

6450939616900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507988 (or 253994 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 58.

The spelling of 6450939616900 in words is "six trillion, four hundred fifty billion, nine hundred thirty-nine million, six hundred sixteen thousand, nine hundred".