4487077486080 has 1280 divisors, whose sum is σ = 18943144704000. Its totient is φ = 1005984645120.

The previous prime is 4487077486043. The next prime is 4487077486081. The reversal of 4487077486080 is 806847707844.

4487077486080 is a `hidden beast` number, since 4 + 4 + 8 + 7 + 0 + 77 + 486 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4487077485999 and 4487077486017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4487077486081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1256530695 + ... + 1256534265.

It is an arithmetic number, because the mean of its divisors is an integer number (14799331800).

Almost surely, 2^{4487077486080} is an apocalyptic number.

4487077486080 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 4487077486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9471572352000).

4487077486080 is an abundant number, since it is smaller than the sum of its proper divisors (14456067217920).

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

4487077486080 is an equidigital number, since it uses as much as digits as its factorization.

4487077486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 67436544, while the sum is 63.

The spelling of 4487077486080 in words is "four trillion, four hundred eighty-seven billion, seventy-seven million, four hundred eighty-six thousand, eighty".