6576531456 has 384 divisors, whose sum is σ = 20479979520. Its totient is φ = 1857945600.

The previous prime is 6576531439. The next prime is 6576531461. The reversal of 6576531456 is 6541356756.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90089436 + ... + 90089508.

It is an arithmetic number, because the mean of its divisors is an integer number (53333280).

Almost surely, 2^6576531456 is an apocalyptic number.

6576531456 is a gapful number since it is divisible by the number (66) 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 6576531456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10239989760).

6576531456 is an abundant number, since it is smaller than the sum of its proper divisors (13903448064).

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

6576531456 is a wasteful number, since it uses less digits than its factorization.

6576531456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 163 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 48.

The square root of 6576531456 is about 81095.8165135539. The cubic root of 6576531456 is about 1873.5514933879.

The spelling of 6576531456 in words is "six billion, five hundred seventy-six million, five hundred thirty-one thousand, four hundred fifty-six".