4687829916 has 192 divisors, whose sum is σ = 14355726336. Its totient is φ = 1164039360.

The previous prime is 4687829819. The next prime is 4687829933. The reversal of 4687829916 is 6199287864.

It is a self number, because there is not a number n which added to its sum of digits gives 4687829916.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2570581 + ... + 2572403.

It is an arithmetic number, because the mean of its divisors is an integer number (74769408).

Almost surely, 2^4687829916 is an apocalyptic number.

4687829916 is a gapful number since it is divisible by the number (46) 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 4687829916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7177863168).

4687829916 is an abundant number, since it is smaller than the sum of its proper divisors (9667896420).

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

4687829916 is a wasteful number, since it uses less digits than its factorization.

4687829916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1869 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 60.

The square root of 4687829916 is about 68467.7290115570. The cubic root of 4687829916 is about 1673.6216376872.

The spelling of 4687829916 in words is "four billion, six hundred eighty-seven million, eight hundred twenty-nine thousand, nine hundred sixteen".