6145675200 has 336 divisors, whose sum is σ = 25604988160. Its totient is φ = 1404656640.

The previous prime is 6145675139. The next prime is 6145675231. The reversal of 6145675200 is 25765416.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292239 + ... + 312561.

Almost surely, 2^6145675200 is an apocalyptic number.

6145675200 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 6145675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12802494080).

6145675200 is an abundant number, since it is smaller than the sum of its proper divisors (19459312960).

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

6145675200 is a wasteful number, since it uses less digits than its factorization.

6145675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20361 (or 20340 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 6145675200 is about 78394.3569397696. The cubic root of 6145675200 is about 1831.7092334882.

The spelling of 6145675200 in words is "six billion, one hundred forty-five million, six hundred seventy-five thousand, two hundred".