6145291200 has 168 divisors, whose sum is σ = 20812556800. Its totient is φ = 1585843200.

The previous prime is 6145291181. The next prime is 6145291213. The reversal of 6145291200 is 21925416.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128151 + ... + 169449.

Almost surely, 2^6145291200 is an apocalyptic number.

6145291200 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 6145291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10406278400).

6145291200 is an abundant number, since it is smaller than the sum of its proper divisors (14667265600).

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

6145291200 is a wasteful number, since it uses less digits than its factorization.

6145291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41355 (or 41340 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 6145291200 is about 78391.9077456341. The cubic root of 6145291200 is about 1831.6710824865.

The spelling of 6145291200 in words is "six billion, one hundred forty-five million, two hundred ninety-one thousand, two hundred".