4674677616 has 480 divisors, whose sum is σ = 16793568000. Its totient is φ = 1237565952.

The previous prime is 4674677603. The next prime is 4674677621. The reversal of 4674677616 is 6167764764.

It is a super-2 number, since 2×4674677616² = 43705221627062886912, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 23729230 + ... + 23729426.

It is an arithmetic number, because the mean of its divisors is an integer number (34986600).

Almost surely, 2^4674677616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4674677616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8396784000).

4674677616 is an abundant number, since it is smaller than the sum of its proper divisors (12118890384).

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

4674677616 is a wasteful number, since it uses less digits than its factorization.

4674677616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The square root of 4674677616 is about 68371.6141099506. The cubic root of 4674677616 is about 1672.0549858675.

The spelling of 4674677616 in words is "four billion, six hundred seventy-four million, six hundred seventy-seven thousand, six hundred sixteen".