1639416480 has 384 divisors, whose sum is σ = 5827127040. Its totient is φ = 384860160.

The previous prime is 1639416439. The next prime is 1639416481. The reversal of 1639416480 is 846149361.

It is not an unprimeable number, because it can be changed into a prime (1639416481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22457724 + ... + 22457796.

It is an arithmetic number, because the mean of its divisors is an integer number (15174810).

Almost surely, 2^1639416480 is an apocalyptic number.

1639416480 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 1639416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913563520).

1639416480 is an abundant number, since it is smaller than the sum of its proper divisors (4187710560).

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

1639416480 is a wasteful number, since it uses less digits than its factorization.

1639416480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1639416480 is about 40489.7083219921. The cubic root of 1639416480 is about 1179.1338276234.

The spelling of 1639416480 in words is "one billion, six hundred thirty-nine million, four hundred sixteen thousand, four hundred eighty".