6226796937600 has 1536 divisors, whose sum is σ = 24718846464000. Its totient is φ = 1525107916800.

The previous prime is 6226796937593. The next prime is 6226796937607. The reversal of 6226796937600 is 67396976226.

It is an interprime number because it is at equal distance from previous prime (6226796937593) and next prime (6226796937607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6226796937607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11951625340 + ... + 11951625860.

It is an arithmetic number, because the mean of its divisors is an integer number (16092999000).

Almost surely, 2^{6226796937600} is an apocalyptic number.

6226796937600 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 6226796937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12359423232000).

6226796937600 is an abundant number, since it is smaller than the sum of its proper divisors (18492049526400).

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

6226796937600 is a wasteful number, since it uses less digits than its factorization.

6226796937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 6226796937600 in words is "six trillion, two hundred twenty-six billion, seven hundred ninety-six million, nine hundred thirty-seven thousand, six hundred".