6246649728 has 384 divisors, whose sum is σ = 21034391040. Its totient is φ = 1758412800.

The previous prime is 6246649687. The next prime is 6246649733. The reversal of 6246649728 is 8279466426.

6246649728 is a `hidden beast` number, since 624 + 6 + 6 + 4 + 9 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23050233 + ... + 23050503.

It is an arithmetic number, because the mean of its divisors is an integer number (54777060).

Almost surely, 2^6246649728 is an apocalyptic number.

6246649728 is a gapful number since it is divisible by the number (68) 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 6246649728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10517195520).

6246649728 is an abundant number, since it is smaller than the sum of its proper divisors (14787741312).

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

6246649728 is a wasteful number, since it uses less digits than its factorization.

6246649728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 411 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 6246649728 is about 79035.7496832921. The cubic root of 6246649728 is about 1841.6865569573.

The spelling of 6246649728 in words is "six billion, two hundred forty-six million, six hundred forty-nine thousand, seven hundred twenty-eight".