4616681287680 has 2080 divisors, whose sum is σ = 21099722434560. Its totient is φ = 937678602240.

The previous prime is 4616681287667. The next prime is 4616681287681. The reversal of 4616681287680 is 867821866164.

4616681287680 is a `hidden beast` number, since 4 + 616 + 6 + 8 + 1 + 2 + 8 + 7 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×4616681287680² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4616681287681) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6003486336 + ... + 6003487104.

Almost surely, 2^{4616681287680} is an apocalyptic number.

4616681287680 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 4616681287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10549861217280).

4616681287680 is an abundant number, since it is smaller than the sum of its proper divisors (16483041146880).

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

4616681287680 is a wasteful number, since it uses less digits than its factorization.

4616681287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 4616681287680 in words is "four trillion, six hundred sixteen billion, six hundred eighty-one million, two hundred eighty-seven thousand, six hundred eighty".