6497913052800 has 1920 divisors, whose sum is σ = 26591129777520. Its totient is φ = 1552711680000.

The previous prime is 6497913052783. The next prime is 6497913052819. The reversal of 6497913052800 is 82503197946.

6497913052800 is a `hidden beast` number, since 6 + 49 + 79 + 1 + 3 + 0 + 528 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 2689888647744 + 3808024405056 = 1640088^2 + 1951416^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20760105444 + ... + 20760105756.

It is a 1-persistent number, because it is pandigital, but 2⋅6497913052800 = 12995826105600 is not.

Almost surely, 2^{6497913052800} is an apocalyptic number.

6497913052800 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 6497913052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13295564888760).

6497913052800 is an abundant number, since it is smaller than the sum of its proper divisors (20093216724720).

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

6497913052800 is a wasteful number, since it uses less digits than its factorization.

6497913052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 6497913052800 in words is "six trillion, four hundred ninety-seven billion, nine hundred thirteen million, fifty-two thousand, eight hundred".