1616359680 has 432 divisors, whose sum is σ = 6187237056. Its totient is φ = 387072000.

The previous prime is 1616359673. The next prime is 1616359721. The reversal of 1616359680 is 869536161.

1616359680 is a `hidden beast` number, since 1 + 6 + 1 + 635 + 9 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×1616359680² = 5225237230259404800, which contains 22 as substring.

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

It is an unprimeable number.

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, 6439555 + ... + 6439805.

It is an arithmetic number, because the mean of its divisors is an integer number (14322308).

Almost surely, 2^1616359680 is an apocalyptic number.

1616359680 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 1616359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093618528).

1616359680 is an abundant number, since it is smaller than the sum of its proper divisors (4570877376).

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

1616359680 is a wasteful number, since it uses less digits than its factorization.

1616359680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1616359680 is about 40203.9759227865. The cubic root of 1616359680 is about 1173.5799183307.

The spelling of 1616359680 in words is "one billion, six hundred sixteen million, three hundred fifty-nine thousand, six hundred eighty".