4916505600 has 330 divisors, whose sum is σ = 18212920484. Its totient is φ = 1310515200.

The previous prime is 4916505509. The next prime is 4916505619. The reversal of 4916505600 is 65056194.

4916505600 is a `hidden beast` number, since 4 + 91 + 6 + 5 + 0 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2072415 + ... + 2074785.

Almost surely, 2^4916505600 is an apocalyptic number.

4916505600 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 4916505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106460242).

4916505600 is an abundant number, since it is smaller than the sum of its proper divisors (13296414884).

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

4916505600 is a wasteful number, since it uses less digits than its factorization.

4916505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 4916505600 is about 70117.7980258935. The cubic root of 4916505600 is about 1700.4042406621.

The spelling of 4916505600 in words is "four billion, nine hundred sixteen million, five hundred five thousand, six hundred".