6491548800 has 576 divisors, whose sum is σ = 26123685120. Its totient is φ = 1520640000.

The previous prime is 6491548799. The next prime is 6491548823. The reversal of 6491548800 is 88451946.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9820470 + ... + 9821130.

It is an arithmetic number, because the mean of its divisors is an integer number (45353620).

Almost surely, 2^6491548800 is an apocalyptic number.

6491548800 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 6491548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13061842560).

6491548800 is an abundant number, since it is smaller than the sum of its proper divisors (19632136320).

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

6491548800 is a wasteful number, since it uses less digits than its factorization.

6491548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 6491548800 is about 80570.1483180961. The cubic root of 6491548800 is about 1865.4464020172.

The spelling of 6491548800 in words is "six billion, four hundred ninety-one million, five hundred forty-eight thousand, eight hundred".