6149676000 has 384 divisors, whose sum is σ = 22014720000. Its totient is φ = 1491609600.

The previous prime is 6149675971. The next prime is 6149676007. The reversal of 6149676000 is 6769416.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 6149676000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6149676007) 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 63 ways as a sum of consecutive naturals, for example, 12323751 + ... + 12324249.

It is an arithmetic number, because the mean of its divisors is an integer number (57330000).

Almost surely, 2^6149676000 is an apocalyptic number.

6149676000 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 6149676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007360000).

6149676000 is an abundant number, since it is smaller than the sum of its proper divisors (15865044000).

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

6149676000 is a wasteful number, since it uses less digits than its factorization.

6149676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 6149676000 is about 78419.8699310321. The cubic root of 6149676000 is about 1832.1066247382.

The spelling of 6149676000 in words is "six billion, one hundred forty-nine million, six hundred seventy-six thousand".