4956516600 has 576 divisors, whose sum is σ = 19419471360. Its totient is φ = 1038643200.

The previous prime is 4956516589. The next prime is 4956516613. The reversal of 4956516600 is 66156594.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23490495 + ... + 23490705.

It is an arithmetic number, because the mean of its divisors is an integer number (33714360).

Almost surely, 2^4956516600 is an apocalyptic number.

4956516600 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 4956516600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9709735680).

4956516600 is an abundant number, since it is smaller than the sum of its proper divisors (14462954760).

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

4956516600 is a wasteful number, since it uses less digits than its factorization.

4956516600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 4956516600 is about 70402.5326248992. The cubic root of 4956516600 is about 1705.0044690474.

The spelling of 4956516600 in words is "four billion, nine hundred fifty-six million, five hundred sixteen thousand, six hundred".