6373948440 has 128 divisors (see below), whose sum is σ = 19772190720. Its totient is φ = 1642099200.

The previous prime is 6373948433. The next prime is 6373948457. The reversal of 6373948440 is 448493736.

It is a self number, because there is not a number n which added to its sum of digits gives 6373948440.

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 31 ways as a sum of consecutive naturals, for example, 3053077 + ... + 3055163.

It is an arithmetic number, because the mean of its divisors is an integer number (154470240).

Almost surely, 2^6373948440 is an apocalyptic number.

6373948440 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 6373948440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9886095360).

6373948440 is an abundant number, since it is smaller than the sum of its proper divisors (13398242280).

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

6373948440 is a wasteful number, since it uses less digits than its factorization.

6373948440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The square root of 6373948440 is about 79837.0117176238. The cubic root of 6373948440 is about 1854.1129277483.

The spelling of 6373948440 in words is "six billion, three hundred seventy-three million, nine hundred forty-eight thousand, four hundred forty".