1616476680 has 768 divisors, whose sum is σ = 7076160000. Its totient is φ = 317011968.

The previous prime is 1616476669. The next prime is 1616476691. The reversal of 1616476680 is 866746161.

It is an interprime number because it is at equal distance from previous prime (1616476669) and next prime (1616476691).

It is a super-2 number, since 2×1616476680² = 5225993713967644800, 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30499534 + ... + 30499586.

It is an arithmetic number, because the mean of its divisors is an integer number (9213750).

Almost surely, 2^1616476680 is an apocalyptic number.

1616476680 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 1616476680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080000).

1616476680 is an abundant number, since it is smaller than the sum of its proper divisors (5459683320).

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

1616476680 is a wasteful number, since it uses less digits than its factorization.

1616476680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1616476680 is about 40205.4309764241. The cubic root of 1616476680 is about 1173.6082341277.

The spelling of 1616476680 in words is "one billion, six hundred sixteen million, four hundred seventy-six thousand, six hundred eighty".