6499563206400 has 1296 divisors, whose sum is σ = 26399710831200. Its totient is φ = 1563461222400.

The previous prime is 6499563206359. The next prime is 6499563206407. The reversal of 6499563206400 is 46023659946.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6499563206407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2864504466 + ... + 2864506734.

Almost surely, 2^{6499563206400} is an apocalyptic number.

6499563206400 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 6499563206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199855415600).

6499563206400 is an abundant number, since it is smaller than the sum of its proper divisors (19900147624800).

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

6499563206400 is a wasteful number, since it uses less digits than its factorization.

6499563206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 6499563206400 in words is "six trillion, four hundred ninety-nine billion, five hundred sixty-three million, two hundred six thousand, four hundred".