6461145600 has 720 divisors, whose sum is σ = 26894653632. Its totient is φ = 1331527680.

The previous prime is 6461145589. The next prime is 6461145619. The reversal of 6461145600 is 65411646.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150259179 + ... + 150259221.

Almost surely, 2^6461145600 is an apocalyptic number.

6461145600 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 6461145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13447326816).

6461145600 is an abundant number, since it is smaller than the sum of its proper divisors (20433508032).

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

6461145600 is a wasteful number, since it uses less digits than its factorization.

6461145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 6461145600 is about 80381.2515453697. The cubic root of 6461145600 is about 1862.5295678684.

The spelling of 6461145600 in words is "six billion, four hundred sixty-one million, one hundred forty-five thousand, six hundred".