1648183680 has 1024 divisors, whose sum is σ = 7402752000. Its totient is φ = 340623360.

The previous prime is 1648183673. The next prime is 1648183681. The reversal of 1648183680 is 863818461.

It is a happy number.

1648183680 is a `hidden beast` number, since 16 + 481 + 83 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1648183681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56833906 + ... + 56833934.

It is an arithmetic number, because the mean of its divisors is an integer number (7229250).

Almost surely, 2^1648183680 is an apocalyptic number.

1648183680 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 1648183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701376000).

1648183680 is an abundant number, since it is smaller than the sum of its proper divisors (5754568320).

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

1648183680 is a wasteful number, since it uses less digits than its factorization.

1648183680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1648183680 is about 40597.8285133577. The cubic root of 1648183680 is about 1181.2319987179.

The spelling of 1648183680 in words is "one billion, six hundred forty-eight million, one hundred eighty-three thousand, six hundred eighty".