4872577284072 has 320 divisors, whose sum is σ = 14598852428160. Its totient is φ = 1514603059200.

The previous prime is 4872577284053. The next prime is 4872577284079. The reversal of 4872577284072 is 2704827752784.

4872577284072 is a `hidden beast` number, since 48 + 72 + 57 + 72 + 8 + 407 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4872577284079) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1540490763 + ... + 1540493925.

It is an arithmetic number, because the mean of its divisors is an integer number (45621413838).

Almost surely, 2^{4872577284072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4872577284072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7299426214080).

4872577284072 is an abundant number, since it is smaller than the sum of its proper divisors (9726275144088).

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

4872577284072 is a wasteful number, since it uses less digits than its factorization.

4872577284072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5766 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 98344960, while the sum is 63.

The spelling of 4872577284072 in words is "four trillion, eight hundred seventy-two billion, five hundred seventy-seven million, two hundred eighty-four thousand, seventy-two".