6149074673664 has 672 divisors, whose sum is σ = 20702294855424. Its totient is φ = 1809585930240.

The previous prime is 6149074673653. The next prime is 6149074673669. The reversal of 6149074673664 is 4663764709416.

6149074673664 is a `hidden beast` number, since 6 + 1 + 490 + 74 + 6 + 73 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×6149074673664² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6149074673669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 595200979 + ... + 595211309.

It is an arithmetic number, because the mean of its divisors is an integer number (30806986392).

Almost surely, 2^{6149074673664} is an apocalyptic number.

6149074673664 is a gapful number since it is divisible by the number (64) 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 6149074673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10351147427712).

6149074673664 is an abundant number, since it is smaller than the sum of its proper divisors (14553220181760).

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

6149074673664 is a wasteful number, since it uses less digits than its factorization.

6149074673664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10408 (or 10372 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 6149074673664 in words is "six trillion, one hundred forty-nine billion, seventy-four million, six hundred seventy-three thousand, six hundred sixty-four".