6485965200 has 720 divisors, whose sum is σ = 27150387264. Its totient is φ = 1412812800.

The previous prime is 6485965181. The next prime is 6485965223. The reversal of 6485965200 is 25695846.

6485965200 is a `hidden beast` number, since 6 + 4 + 8 + 596 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×6485965200² = 84135489151222080000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22136254 + ... + 22136546.

Almost surely, 2^6485965200 is an apocalyptic number.

6485965200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6485965200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575193632).

6485965200 is an abundant number, since it is smaller than the sum of its proper divisors (20664422064).

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

6485965200 is a wasteful number, since it uses less digits than its factorization.

6485965200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 6485965200 is about 80535.4903132774. The cubic root of 6485965200 is about 1864.9114041486.

It can be divided in two parts, 648596 and 5200, that added together give a triangular number (653796 = T₁₁₄₃).

The spelling of 6485965200 in words is "six billion, four hundred eighty-five million, nine hundred sixty-five thousand, two hundred".