6716822400 has 576 divisors, whose sum is σ = 26209818000. Its totient is φ = 1679523840.

The previous prime is 6716822389. The next prime is 6716822459. The reversal of 6716822400 is 42286176.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 24969466 + ... + 24969734.

Almost surely, 2^6716822400 is an apocalyptic number.

6716822400 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 6716822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13104909000).

6716822400 is an abundant number, since it is smaller than the sum of its proper divisors (19492995600).

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

6716822400 is a wasteful number, since it uses less digits than its factorization.

6716822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6716822400 is about 81956.2224605307. Note that the first 3 decimals coincide. The cubic root of 6716822400 is about 1886.7801058593.

The spelling of 6716822400 in words is "six billion, seven hundred sixteen million, eight hundred twenty-two thousand, four hundred".