4486553763840 has 640 divisors, whose sum is σ = 16429395913920. Its totient is φ = 1170795921408.

The previous prime is 4486553763823. The next prime is 4486553763841. The reversal of 4486553763840 is 483673556844.

It is a happy number.

4486553763840 is a `hidden beast` number, since 4 + 4 + 8 + 6 + 553 + 7 + 6 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4486553763841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 623735284 + ... + 623742476.

Almost surely, 2^{4486553763840} is an apocalyptic number.

4486553763840 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 4486553763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8214697956960).

4486553763840 is an abundant number, since it is smaller than the sum of its proper divisors (11942842150080).

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

4486553763840 is an frugal number, since it uses more digits than its factorization.

4486553763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7287 (or 7250 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 4486553763840 in words is "four trillion, four hundred eighty-six billion, five hundred fifty-three million, seven hundred sixty-three thousand, eight hundred forty".