4686891880320 has 1280 divisors, whose sum is σ = 19121162417280. Its totient is φ = 1085226024960.

The previous prime is 4686891880309. The next prime is 4686891880331. The reversal of 4686891880320 is 230881986864.

4686891880320 is a `hidden beast` number, since 468 + 6 + 8 + 91 + 8 + 80 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4686891880309) and next prime (4686891880331).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 945507282 + ... + 945512238.

Almost surely, 2^{4686891880320} is an apocalyptic number.

4686891880320 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 4686891880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9560581208640).

4686891880320 is an abundant number, since it is smaller than the sum of its proper divisors (14434270536960).

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

4686891880320 is a wasteful number, since it uses less digits than its factorization.

4686891880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5085 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 4686891880320 in words is "four trillion, six hundred eighty-six billion, eight hundred ninety-one million, eight hundred eighty thousand, three hundred twenty".