6281623920 has 320 divisors, whose sum is σ = 23112520704. Its totient is φ = 1391247360.

The previous prime is 6281623897. The next prime is 6281623937. The reversal of 6281623920 is 293261826.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3534072 + ... + 3535848.

Almost surely, 2^6281623920 is an apocalyptic number.

6281623920 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 6281623920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11556260352).

6281623920 is an abundant number, since it is smaller than the sum of its proper divisors (16830896784).

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

6281623920 is a wasteful number, since it uses less digits than its factorization.

6281623920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 6281623920 is about 79256.6963732403. The cubic root of 6281623920 is about 1845.1172845735.

It can be divided in two parts, 62816 and 23920, that added together give a triangular number (86736 = T₄₁₆).

The spelling of 6281623920 in words is "six billion, two hundred eighty-one million, six hundred twenty-three thousand, nine hundred twenty".