6282097920 has 648 divisors, whose sum is σ = 26172357120. Its totient is φ = 1385717760.

The previous prime is 6282097909. The next prime is 6282097949. The reversal of 6282097920 is 297902826.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 17498701 + ... + 17499059.

It is an arithmetic number, because the mean of its divisors is an integer number (40389440).

Almost surely, 2^6282097920 is an apocalyptic number.

6282097920 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 6282097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13086178560).

6282097920 is an abundant number, since it is smaller than the sum of its proper divisors (19890259200).

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

6282097920 is a wasteful number, since it uses less digits than its factorization.

6282097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6282097920 is about 79259.6866004402. The cubic root of 6282097920 is about 1845.1636931459.

The spelling of 6282097920 in words is "six billion, two hundred eighty-two million, ninety-seven thousand, nine hundred twenty".