6678453290400 has 432 divisors, whose sum is σ = 25138546655040. Its totient is φ = 1663422566400.

The previous prime is 6678453290351. The next prime is 6678453290407. The reversal of 6678453290400 is 40923548766.

6678453290400 is a `hidden beast` number, since 6 + 67 + 8 + 4 + 532 + 9 + 0 + 40 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6678453290407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9369004 + ... + 10056596.

It is an arithmetic number, because the mean of its divisors is an integer number (58191080220).

Almost surely, 2^{6678453290400} is an apocalyptic number.

6678453290400 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 6678453290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12569273327520).

6678453290400 is an abundant number, since it is smaller than the sum of its proper divisors (18460093364640).

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

6678453290400 is a wasteful number, since it uses less digits than its factorization.

6678453290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687709 (or 687693 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 6678453290400 in words is "six trillion, six hundred seventy-eight billion, four hundred fifty-three million, two hundred ninety thousand, four hundred".