6417393840 has 480 divisors, whose sum is σ = 25544990016. Its totient is φ = 1423319040.

The previous prime is 6417393821. The next prime is 6417393881. The reversal of 6417393840 is 483937146.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16164522 + ... + 16164918.

Almost surely, 2^6417393840 is an apocalyptic number.

6417393840 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 6417393840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12772495008).

6417393840 is an abundant number, since it is smaller than the sum of its proper divisors (19127596176).

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

6417393840 is a wasteful number, since it uses less digits than its factorization.

6417393840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6417393840 is about 80108.6377365138. The cubic root of 6417393840 is about 1858.3159922683.

The spelling of 6417393840 in words is "six billion, four hundred seventeen million, three hundred ninety-three thousand, eight hundred forty".