6474745368000 has 2240 divisors, whose sum is σ = 31037701094400. Its totient is φ = 1293976166400.

The previous prime is 6474745367983. The next prime is 6474745368001. The reversal of 6474745368000 is 8635474746.

6474745368000 is a `hidden beast` number, since 6 + 47 + 474 + 53 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6474745368001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1120389111 + ... + 1120394889.

It is an arithmetic number, because the mean of its divisors is an integer number (13856116560).

Almost surely, 2^{6474745368000} is an apocalyptic number.

6474745368000 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 6474745368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15518850547200).

6474745368000 is an abundant number, since it is smaller than the sum of its proper divisors (24562955726400).

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

6474745368000 is a wasteful number, since it uses less digits than its factorization.

6474745368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 6474745368000 in words is "six trillion, four hundred seventy-four billion, seven hundred forty-five million, three hundred sixty-eight thousand".