6145969200 has 480 divisors, whose sum is σ = 24054460416. Its totient is φ = 1309409280.

The previous prime is 6145969187. The next prime is 6145969267. The reversal of 6145969200 is 29695416.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27560289 + ... + 27560511.

Almost surely, 2^6145969200 is an apocalyptic number.

6145969200 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 6145969200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12027230208).

6145969200 is an abundant number, since it is smaller than the sum of its proper divisors (17908491216).

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

6145969200 is a wasteful number, since it uses less digits than its factorization.

6145969200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 6145969200 is about 78396.2320523123. The cubic root of 6145969200 is about 1831.7384417748.

The spelling of 6145969200 in words is "six billion, one hundred forty-five million, nine hundred sixty-nine thousand, two hundred".