4476461383680 has 1216 divisors, whose sum is σ = 17756971545600. Its totient is φ = 946738298880.

The previous prime is 4476461383609. The next prime is 4476461383703. The reversal of 4476461383680 is 863831646744.

It is a tau number, because it is divible by the number of its divisors (1216).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10683678511 + ... + 10683678929.

Almost surely, 2^{4476461383680} is an apocalyptic number.

4476461383680 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 4476461383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8878485772800).

4476461383680 is an abundant number, since it is smaller than the sum of its proper divisors (13280510161920).

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

4476461383680 is a wasteful number, since it uses less digits than its factorization.

4476461383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 60.

The spelling of 4476461383680 in words is "four trillion, four hundred seventy-six billion, four hundred sixty-one million, three hundred eighty-three thousand, six hundred eighty".