6312273408 has 640 divisors, whose sum is σ = 22988528640. Its totient is φ = 1672151040.

The previous prime is 6312273403. The next prime is 6312273431. The reversal of 6312273408 is 8043722136.

It is a happy number.

6312273408 is a `hidden beast` number, since 63 + 122 + 73 + 408 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6312273403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146797035 + ... + 146797077.

It is an arithmetic number, because the mean of its divisors is an integer number (35919576).

Almost surely, 2^6312273408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6312273408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11494264320).

6312273408 is an abundant number, since it is smaller than the sum of its proper divisors (16676255232).

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

6312273408 is a wasteful number, since it uses less digits than its factorization.

6312273408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6312273408 is about 79449.8169160886. The cubic root of 6312273408 is about 1848.1133342535.

The spelling of 6312273408 in words is "six billion, three hundred twelve million, two hundred seventy-three thousand, four hundred eight".