6766224998400 has 1512 divisors, whose sum is σ = 29451851773344. Its totient is φ = 1449551462400.

The previous prime is 6766224998381. The next prime is 6766224998419. The reversal of 6766224998400 is 48994226676.

6766224998400 is a `hidden beast` number, since 6 + 7 + 6 + 62 + 2 + 499 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6766224998381) and next prime (6766224998419).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28075622280 + ... + 28075622520.

Almost surely, 2^{6766224998400} is an apocalyptic number.

6766224998400 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 6766224998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14725925886672).

6766224998400 is an abundant number, since it is smaller than the sum of its proper divisors (22685626774944).

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

6766224998400 is an equidigital number, since it uses as much as digits as its factorization.

6766224998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 6766224998400 in words is "six trillion, seven hundred sixty-six billion, two hundred twenty-four million, nine hundred ninety-eight thousand, four hundred".