4671619680 has 576 divisors, whose sum is σ = 19213770240. Its totient is φ = 931627008.

The previous prime is 4671619649. The next prime is 4671619697. The reversal of 4671619680 is 869161764.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 10788744 + ... + 10789176.

It is an arithmetic number, because the mean of its divisors is an integer number (33357240).

Almost surely, 2^4671619680 is an apocalyptic number.

4671619680 is a gapful number since it is divisible by the number (40) 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 4671619680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9606885120).

4671619680 is an abundant number, since it is smaller than the sum of its proper divisors (14542150560).

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

4671619680 is a wasteful number, since it uses less digits than its factorization.

4671619680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 4671619680 is about 68349.2478378511. The cubic root of 4671619680 is about 1671.6903152701.

The spelling of 4671619680 in words is "four billion, six hundred seventy-one million, six hundred nineteen thousand, six hundred eighty".