1649868000 has 384 divisors, whose sum is σ = 6113802240. Its totient is φ = 385280000.

The previous prime is 1649867981. The next prime is 1649868013. The reversal of 1649868000 is 8689461.

1649868000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3827785 + ... + 3828215.

It is an arithmetic number, because the mean of its divisors is an integer number (15921360).

Almost surely, 2^1649868000 is an apocalyptic number.

1649868000 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 1649868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056901120).

1649868000 is an abundant number, since it is smaller than the sum of its proper divisors (4463934240).

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

1649868000 is a wasteful number, since it uses less digits than its factorization.

1649868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 1649868000 is about 40618.5671830014. The cubic root of 1649868000 is about 1181.6342385405.

The spelling of 1649868000 in words is "one billion, six hundred forty-nine million, eight hundred sixty-eight thousand".