6784453990400 has 288 divisors, whose sum is σ = 17203383288000. Its totient is φ = 2652670033920.

The previous prime is 6784453990387. The next prime is 6784453990417. The reversal of 6784453990400 is 40993544876.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a self number, because there is not a number n which added to its sum of digits gives 6784453990400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540716927 + ... + 540729473.

It is an arithmetic number, because the mean of its divisors is an integer number (59733969750).

Almost surely, 2^{6784453990400} 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 6784453990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8601691644000).

6784453990400 is an abundant number, since it is smaller than the sum of its proper divisors (10418929297600).

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

6784453990400 is a wasteful number, since it uses less digits than its factorization.

6784453990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12817 (or 12792 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 59.

The spelling of 6784453990400 in words is "six trillion, seven hundred eighty-four billion, four hundred fifty-three million, nine hundred ninety thousand, four hundred".