4772577348000 has 4608 divisors, whose sum is σ = 24133487099904. Its totient is φ = 903260160000.

The previous prime is 4772577347999. The next prime is 4772577348013. The reversal of 4772577348000 is 8437752774.

4772577348000 is a `hidden beast` number, since 4 + 77 + 25 + 7 + 73 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 153954107985 + ... + 153954108015.

It is an arithmetic number, because the mean of its divisors is an integer number (5237301888).

Almost surely, 2^{4772577348000} is an apocalyptic number.

4772577348000 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 4772577348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12066743549952).

4772577348000 is an abundant number, since it is smaller than the sum of its proper divisors (19360909751904).

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

4772577348000 is a wasteful number, since it uses less digits than its factorization.

4772577348000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 9219840, while the sum is 54.

The spelling of 4772577348000 in words is "four trillion, seven hundred seventy-two billion, five hundred seventy-seven million, three hundred forty-eight thousand".