6352121318400 has 2376 divisors, whose sum is σ = 28533481677792. Its totient is φ = 1336541184000.

The previous prime is 6352121318377. The next prime is 6352121318447. The reversal of 6352121318400 is 48131212536.

6352121318400 is a `hidden beast` number, since 6 + 3 + 5 + 21 + 213 + 18 + 400 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6161125885 + ... + 6161126915.

Almost surely, 2^{6352121318400} is an apocalyptic number.

6352121318400 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 6352121318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14266740838896).

6352121318400 is an abundant number, since it is smaller than the sum of its proper divisors (22181360359392).

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

6352121318400 is a wasteful number, since it uses less digits than its factorization.

6352121318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 6352121318400 in words is "six trillion, three hundred fifty-two billion, one hundred twenty-one million, three hundred eighteen thousand, four hundred".