6496072800 has 288 divisors, whose sum is σ = 24757415424. Its totient is φ = 1448448000.

The previous prime is 6496072769. The next prime is 6496072859. The reversal of 6496072800 is 82706946.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 684085 + ... + 693515.

It is an arithmetic number, because the mean of its divisors is an integer number (85963248).

Almost surely, 2^6496072800 is an apocalyptic number.

6496072800 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 6496072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12378707712).

6496072800 is an abundant number, since it is smaller than the sum of its proper divisors (18261342624).

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

6496072800 is a wasteful number, since it uses less digits than its factorization.

6496072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9502 (or 9489 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 6496072800 is about 80598.2183425912. The cubic root of 6496072800 is about 1865.8796483851.

The spelling of 6496072800 in words is "six billion, four hundred ninety-six million, seventy-two thousand, eight hundred".