4916761600 has 132 divisors (see below), whose sum is σ = 12278929500. Its totient is φ = 1951989760.

The previous prime is 4916761583. The next prime is 4916761643. The reversal of 4916761600 is 61676194.

It can be written as a sum of positive squares in 6 ways, for example, as 178917376 + 4737844224 = 13376^2 + 68832^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3813756 + ... + 3815044.

Almost surely, 2^4916761600 is an apocalyptic number.

4916761600 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 4916761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6139464750).

4916761600 is an abundant number, since it is smaller than the sum of its proper divisors (7362167900).

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

4916761600 is a wasteful number, since it uses less digits than its factorization.

4916761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 4916761600 is about 70119.6235015563. The cubic root of 4916761600 is about 1700.4337532174.

The spelling of 4916761600 in words is "four billion, nine hundred sixteen million, seven hundred sixty-one thousand, six hundred".