6649404877440 has 3072 divisors, whose sum is σ = 28742418432000. Its totient is φ = 1453768114176.

The previous prime is 6649404877369. The next prime is 6649404877441. The reversal of 6649404877440 is 447784049466.

6649404877440 is a `hidden beast` number, since 6 + 6 + 4 + 9 + 40 + 487 + 74 + 40 = 666.

It is a super-2 number, since 2×6649404877440² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6649404877441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 52357518657 + ... + 52357518783.

It is an arithmetic number, because the mean of its divisors is an integer number (9356256000).

Almost surely, 2^{6649404877440} is an apocalyptic number.

6649404877440 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 6649404877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14371209216000).

6649404877440 is an abundant number, since it is smaller than the sum of its proper divisors (22093013554560).

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

6649404877440 is a wasteful number, since it uses less digits than its factorization.

6649404877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 6649404877440 in words is "six trillion, six hundred forty-nine billion, four hundred four million, eight hundred seventy-seven thousand, four hundred forty".