6349749840000 has 3840 divisors, whose sum is σ = 30376076544000. Its totient is φ = 1272775680000.

The previous prime is 6349749839989. The next prime is 6349749840139. The reversal of 6349749840000 is 489479436.

It is a happy number.

6349749840000 is a `hidden beast` number, since 63 + 4 + 97 + 4 + 98 + 400 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 204830639985 + ... + 204830640015.

It is an arithmetic number, because the mean of its divisors is an integer number (7910436600).

Almost surely, 2^{6349749840000} is an apocalyptic number.

6349749840000 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 6349749840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15188038272000).

6349749840000 is an abundant number, since it is smaller than the sum of its proper divisors (24026326704000).

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

6349749840000 is a wasteful number, since it uses less digits than its factorization.

6349749840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 6349749840000 in words is "six trillion, three hundred forty-nine billion, seven hundred forty-nine million, eight hundred forty thousand".