6496716722400 has 432 divisors, whose sum is σ = 24714335462544. Its totient is φ = 1599781847040.

The previous prime is 6496716722369. The next prime is 6496716722407. The reversal of 6496716722400 is 42276176946.

6496716722400 is a `hidden beast` number, since 6 + 4 + 96 + 71 + 67 + 22 + 400 = 666.

It is a super-2 number, since 2×6496716722400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6496716722407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5986467 + ... + 6987933.

It is an arithmetic number, because the mean of its divisors is an integer number (57209109867).

Almost surely, 2^{6496716722400} is an apocalyptic number.

6496716722400 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 6496716722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12357167731272).

6496716722400 is an abundant number, since it is smaller than the sum of its proper divisors (18217618740144).

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

6496716722400 is a wasteful number, since it uses less digits than its factorization.

6496716722400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001563 (or 1001547 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 6496716722400 in words is "six trillion, four hundred ninety-six billion, seven hundred sixteen million, seven hundred twenty-two thousand, four hundred".