1649676672 has 512 divisors, whose sum is σ = 6077568000. Its totient is φ = 429981696.

The previous prime is 1649676659. The next prime is 1649676683. The reversal of 1649676672 is 2766769461.

1649676672 is a `hidden beast` number, since 16 + 496 + 76 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 17006928 + ... + 17007024.

It is an arithmetic number, because the mean of its divisors is an integer number (11870250).

Almost surely, 2^1649676672 is an apocalyptic number.

1649676672 is a gapful number since it is divisible by the number (12) 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 1649676672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038784000).

1649676672 is an abundant number, since it is smaller than the sum of its proper divisors (4427891328).

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

1649676672 is a wasteful number, since it uses less digits than its factorization.

1649676672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 1649676672 is about 40616.2119356298. The cubic root of 1649676672 is about 1181.5885604508.

The spelling of 1649676672 in words is "one billion, six hundred forty-nine million, six hundred seventy-six thousand, six hundred seventy-two".