6396796800 has 960 divisors, whose sum is σ = 26169976800. Its totient is φ = 1532805120.

The previous prime is 6396796741. The next prime is 6396796801. The reversal of 6396796800 is 86976936.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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 (6396796801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 172886382 + ... + 172886418.

Almost surely, 2^6396796800 is an apocalyptic number.

6396796800 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 6396796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13084988400).

6396796800 is an abundant number, since it is smaller than the sum of its proper divisors (19773180000).

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

6396796800 is a wasteful number, since it uses less digits than its factorization.

6396796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 6396796800 is about 79979.9774943704. The cubic root of 6396796800 is about 1856.3257330595.

The spelling of 6396796800 in words is "six billion, three hundred ninety-six million, seven hundred ninety-six thousand, eight hundred".