4461037680 has 240 divisors, whose sum is σ = 15863984640. Its totient is φ = 1034288640.

The previous prime is 4461037673. The next prime is 4461037697. The reversal of 4461037680 is 867301644.

It is a Cunningham number, because it is equal to 66791²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 664581 + ... + 671259.

It is an arithmetic number, because the mean of its divisors is an integer number (66099936).

Almost surely, 2^4461037680 is an apocalyptic number.

4461037680 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 4461037680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931992320).

4461037680 is an abundant number, since it is smaller than the sum of its proper divisors (11402946960).

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

4461037680 is a wasteful number, since it uses less digits than its factorization.

4461037680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6740 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4461037680 is about 66790.9999925140. Note that the first 5 decimals coincide. The cubic root of 4461037680 is about 1646.1849636657.

The spelling of 4461037680 in words is "four billion, four hundred sixty-one million, thirty-seven thousand, six hundred eighty".