6447391749000 has 1280 divisors, whose sum is σ = 24002588712960. Its totient is φ = 1611731520000.

The previous prime is 6447391748981. The next prime is 6447391749011. The reversal of 6447391749000 is 9471937446.

6447391749000 is a `hidden beast` number, since 64 + 4 + 7 + 3 + 91 + 7 + 490 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 22782302859 + ... + 22782303141.

It is an arithmetic number, because the mean of its divisors is an integer number (18752022432).

Almost surely, 2^{6447391749000} is an apocalyptic number.

6447391749000 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 6447391749000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12001294356480).

6447391749000 is an abundant number, since it is smaller than the sum of its proper divisors (17555196963960).

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

6447391749000 is a wasteful number, since it uses less digits than its factorization.

6447391749000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 6447391749000 in words is "six trillion, four hundred forty-seven billion, three hundred ninety-one million, seven hundred forty-nine thousand".