6498576000 has 768 divisors, whose sum is σ = 27935107200. Its totient is φ = 1480550400.

The previous prime is 6498575981. The next prime is 6498576017. The reversal of 6498576000 is 6758946.

It is a super-3 number, since 3×6498576000³ (a number of 30 digits) contains 333 as substring.

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

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, 21167847 + ... + 21168153.

Almost surely, 2^6498576000 is an apocalyptic number.

6498576000 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 6498576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13967553600).

6498576000 is an abundant number, since it is smaller than the sum of its proper divisors (21436531200).

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

6498576000 is a wasteful number, since it uses less digits than its factorization.

6498576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6498576000 is about 80613.7457261477. The cubic root of 6498576000 is about 1866.1192839452.

The spelling of 6498576000 in words is "six billion, four hundred ninety-eight million, five hundred seventy-six thousand".