4872732480 has 1008 divisors, whose sum is σ = 22061692224. Its totient is φ = 975421440.

The previous prime is 4872732409. The next prime is 4872732503. The reversal of 4872732480 is 842372784.

4872732480 is a `hidden beast` number, since 487 + 2 + 73 + 24 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66749724 + ... + 66749796.

Almost surely, 2^4872732480 is an apocalyptic number.

4872732480 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 4872732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11030846112).

4872732480 is an abundant number, since it is smaller than the sum of its proper divisors (17188959744).

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

4872732480 is a wasteful number, since it uses less digits than its factorization.

4872732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 4872732480 is about 69804.9602822034. The cubic root of 4872732480 is about 1695.3427870690.

The spelling of 4872732480 in words is "four billion, eight hundred seventy-two million, seven hundred thirty-two thousand, four hundred eighty".