6449000580 has 288 divisors, whose sum is σ = 21861560448. Its totient is φ = 1525708800.

The previous prime is 6449000573. The next prime is 6449000603. The reversal of 6449000580 is 850009446.

6449000580 is a `hidden beast` number, since 644 + 9 + 0 + 0 + 0 + 5 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 22950040 + ... + 22950320.

It is an arithmetic number, because the mean of its divisors is an integer number (75908196).

Almost surely, 2^6449000580 is an apocalyptic number.

6449000580 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 6449000580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10930780224).

6449000580 is an abundant number, since it is smaller than the sum of its proper divisors (15412559868).

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

6449000580 is a wasteful number, since it uses less digits than its factorization.

6449000580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6449000580 is about 80305.6696628576. The cubic root of 6449000580 is about 1861.3618365142.

The spelling of 6449000580 in words is "six billion, four hundred forty-nine million, five hundred eighty", and thus it is an aban number.