6332768114400 has 3600 divisors, whose sum is σ = 30246763333248. Its totient is φ = 1280240640000.

The previous prime is 6332768114389. The next prime is 6332768114419. The reversal of 6332768114400 is 44118672336.

6332768114400 is a `hidden beast` number, since 63 + 3 + 2 + 76 + 8 + 114 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×6332768114400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 62700674350 + ... + 62700674450.

Almost surely, 2^{6332768114400} is an apocalyptic number.

6332768114400 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 6332768114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15123381666624).

6332768114400 is an abundant number, since it is smaller than the sum of its proper divisors (23913995218848).

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

6332768114400 is a wasteful number, since it uses less digits than its factorization.

6332768114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 6332768114400 in words is "six trillion, three hundred thirty-two billion, seven hundred sixty-eight million, one hundred fourteen thousand, four hundred".