6258366000 has 480 divisors, whose sum is σ = 22813539840. Its totient is φ = 1598016000.

The previous prime is 6258365921. The next prime is 6258366007. The reversal of 6258366000 is 6638526.

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

It is not an unprimeable number, because it can be changed into a prime (6258366007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75401959 + ... + 75402041.

It is an arithmetic number, because the mean of its divisors is an integer number (47528208).

Almost surely, 2^6258366000 is an apocalyptic number.

6258366000 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 6258366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11406769920).

6258366000 is an abundant number, since it is smaller than the sum of its proper divisors (16555173840).

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

6258366000 is a wasteful number, since it uses less digits than its factorization.

6258366000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6258366000 is about 79109.8350396460. The cubic root of 6258366000 is about 1842.8372657466.

The spelling of 6258366000 in words is "six billion, two hundred fifty-eight million, three hundred sixty-six thousand".