6578029440 has 448 divisors, whose sum is σ = 24642865440. Its totient is φ = 1675137024.

The previous prime is 6578029397. The next prime is 6578029481. The reversal of 6578029440 is 449208756.

It is a happy number.

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 55 ways as a sum of consecutive naturals, for example, 10730574 + ... + 10731186.

Almost surely, 2^6578029440 is an apocalyptic number.

6578029440 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 6578029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12321432720).

6578029440 is an abundant number, since it is smaller than the sum of its proper divisors (18064836000).

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

6578029440 is an equidigital number, since it uses as much as digits as its factorization.

6578029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6578029440 is about 81105.0518771796. The cubic root of 6578029440 is about 1873.6937333673.

The spelling of 6578029440 in words is "six billion, five hundred seventy-eight million, twenty-nine thousand, four hundred forty".