6511276800 has 648 divisors, whose sum is σ = 27810459600. Its totient is φ = 1486356480.

The previous prime is 6511276781. The next prime is 6511276819. The reversal of 6511276800 is 86721156.

It is an interprime number because it is at equal distance from previous prime (6511276781) and next prime (6511276819).

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 71 ways as a sum of consecutive naturals, for example, 8466816 + ... + 8467584.

Almost surely, 2^6511276800 is an apocalyptic number.

6511276800 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 6511276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13905229800).

6511276800 is an abundant number, since it is smaller than the sum of its proper divisors (21299182800).

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

6511276800 is a wasteful number, since it uses less digits than its factorization.

6511276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 6511276800 is about 80692.4829212734. The cubic root of 6511276800 is about 1867.3342056972.

Adding to 6511276800 its reverse (86721156), we get a palindrome (6597997956).

The spelling of 6511276800 in words is "six billion, five hundred eleven million, two hundred seventy-six thousand, eight hundred".