4810772736 has 720 divisors, whose sum is σ = 18804538368. Its totient is φ = 1186099200.

The previous prime is 4810772719. The next prime is 4810772797. The reversal of 4810772736 is 6372770184.

It is a junction number, because it is equal to n+sod(n) for n = 4810772691 and 4810772700.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36723391 + ... + 36723521.

Almost surely, 2^4810772736 is an apocalyptic number.

4810772736 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 4810772736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9402269184).

4810772736 is an abundant number, since it is smaller than the sum of its proper divisors (13993765632).

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

4810772736 is a wasteful number, since it uses less digits than its factorization.

4810772736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 4810772736 is about 69359.7342555463. The cubic root of 4810772736 is about 1688.1263429014.

The spelling of 4810772736 in words is "four billion, eight hundred ten million, seven hundred seventy-two thousand, seven hundred thirty-six".