4872960000 has 600 divisors, whose sum is σ = 18575116560. Its totient is φ = 1271808000.

The previous prime is 4872959999. The next prime is 4872960007. The reversal of 4872960000 is 692784.

4872960000 is a `hidden beast` number, since 48 + 7 + 2 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4872960007) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 103679977 + ... + 103680023.

Almost surely, 2^4872960000 is an apocalyptic number.

4872960000 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 4872960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9287558280).

4872960000 is an abundant number, since it is smaller than the sum of its proper divisors (13702156560).

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

4872960000 is an frugal number, since it uses more digits than its factorization.

4872960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4872960000 is about 69806.5899467951. The cubic root of 4872960000 is about 1695.3691732489.

The spelling of 4872960000 in words is "four billion, eight hundred seventy-two million, nine hundred sixty thousand".