4905600000 has 528 divisors, whose sum is σ = 18933538176. Its totient is φ = 1105920000.

The previous prime is 4905599999. The next prime is 4905600013. The reversal of 4905600000 is 65094.

It is a super-2 number, since 2×4905600000² = 48129822720000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67199964 + ... + 67200036.

Almost surely, 2^4905600000 is an apocalyptic number.

4905600000 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 4905600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9466769088).

4905600000 is an abundant number, since it is smaller than the sum of its proper divisors (14027938176).

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

4905600000 is an frugal number, since it uses more digits than its factorization.

4905600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 4905600000 is about 70039.9885779545. The cubic root of 4905600000 is about 1699.1460532382.

Adding to 4905600000 its reverse (65094), we get a palindrome (4905665094).

It can be divided in two parts, 490 and 5600000, that multiplied together give a cube (2744000000 = 1400³).

The spelling of 4905600000 in words is "four billion, nine hundred five million, six hundred thousand".