4638116575680 has 560 divisors, whose sum is σ = 18083680855680. Its totient is φ = 1004334557184.

The previous prime is 4638116575667. The next prime is 4638116575691. The reversal of 4638116575680 is 865756118364.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43741287 + ... + 43847193.

Almost surely, 2^{4638116575680} is an apocalyptic number.

4638116575680 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 4638116575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9041840427840).

4638116575680 is an abundant number, since it is smaller than the sum of its proper divisors (13445564280000).

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

4638116575680 is a wasteful number, since it uses less digits than its factorization.

4638116575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105974 (or 105943 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 4638116575680 in words is "four trillion, six hundred thirty-eight billion, one hundred sixteen million, five hundred seventy-five thousand, six hundred eighty".