6576209640 has 1152 divisors, whose sum is σ = 30566592000. Its totient is φ = 1245404160.

The previous prime is 6576209639. The next prime is 6576209659. The reversal of 6576209640 is 469026756.

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 287 ways as a sum of consecutive naturals, for example, 83243121 + ... + 83243199.

It is an arithmetic number, because the mean of its divisors is an integer number (26533500).

Almost surely, 2^6576209640 is an apocalyptic number.

6576209640 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 6576209640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283296000).

6576209640 is an abundant number, since it is smaller than the sum of its proper divisors (23990382360).

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

6576209640 is a wasteful number, since it uses less digits than its factorization.

6576209640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 6576209640 is about 81093.8323178773. The cubic root of 6576209640 is about 1873.5209327655.

The spelling of 6576209640 in words is "six billion, five hundred seventy-six million, two hundred nine thousand, six hundred forty".