4673686814720 has 480 divisors, whose sum is σ = 14310260084736. Its totient is φ = 1422773452800.

The previous prime is 4673686814683. The next prime is 4673686814743. The reversal of 4673686814720 is 274186863764.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271228505 + ... + 271245735.

Almost surely, 2^{4673686814720} is an apocalyptic number.

4673686814720 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 4673686814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7155130042368).

4673686814720 is an abundant number, since it is smaller than the sum of its proper divisors (9636573270016).

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

4673686814720 is a wasteful number, since it uses less digits than its factorization.

4673686814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17325 (or 17299 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 62.

The spelling of 4673686814720 in words is "four trillion, six hundred seventy-three billion, six hundred eighty-six million, eight hundred fourteen thousand, seven hundred twenty".