6123646621400 has 384 divisors, whose sum is σ = 18718212672000. Its totient is φ = 1804985856000.

The previous prime is 6123646621361. The next prime is 6123646621441. The reversal of 6123646621400 is 41266463216.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 166471010 + ... + 166507790.

It is an arithmetic number, because the mean of its divisors is an integer number (48745345500).

Almost surely, 2^{6123646621400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6123646621400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359106336000).

6123646621400 is an abundant number, since it is smaller than the sum of its proper divisors (12594566050600).

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

6123646621400 is a wasteful number, since it uses less digits than its factorization.

6123646621400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37403 (or 37394 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 6123646621400 in words is "six trillion, one hundred twenty-three billion, six hundred forty-six million, six hundred twenty-one thousand, four hundred".