6746228798400 has 2268 divisors, whose sum is σ = 31345641308592. Its totient is φ = 1347236167680.

The previous prime is 6746228798383. The next prime is 6746228798401. The reversal of 6746228798400 is 48978226476.

6746228798400 is a `hidden beast` number, since 6 + 7 + 4 + 62 + 2 + 87 + 98 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6746228798401) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 6149706652 + ... + 6149707748.

Almost surely, 2^{6746228798400} is an apocalyptic number.

6746228798400 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 6746228798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15672820654296).

6746228798400 is an abundant number, since it is smaller than the sum of its proper divisors (24599412510192).

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

6746228798400 is a wasteful number, since it uses less digits than its factorization.

6746228798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 6746228798400 in words is "six trillion, seven hundred forty-six billion, two hundred twenty-eight million, seven hundred ninety-eight thousand, four hundred".