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1613664000 = 28325313431

1613664000 has 432 divisors, whose sum is σ = 6267590784. Its totient is φ = 396288000.

The previous prime is 1613663993. The next prime is 1613664001. The reversal of 1613664000 is 4663161.

1613664000 is a `hidden beast` number, since 1 + 6 + 13 + 6 + 640 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1613664001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3743785 + ... + 3744215.

It is an arithmetic number, because the mean of its divisors is an integer number (14508312).

Almost surely, 21613664000 is an apocalyptic number.

1613664000 is a gapful number since it is divisible by the number (10) 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 1613664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133795392).

1613664000 is an abundant number, since it is smaller than the sum of its proper divisors (4653926784).

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

1613664000 is a wasteful number, since it uses less digits than its factorization.

1613664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1613664000 is about 40170.4368908281. The cubic root of 1613664000 is about 1172.9271436054.

The spelling of 1613664000 in words is "one billion, six hundred thirteen million, six hundred sixty-four thousand".