4246683732480 has 1280 divisors, whose sum is σ = 16981627677696. Its totient is φ = 883320422400.

The previous prime is 4246683732437. The next prime is 4246683732503. The reversal of 4246683732480 is 842373866424.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 4246683732480.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3535955880 + ... + 3535957080.

Almost surely, 2^{4246683732480} is an apocalyptic number.

4246683732480 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 4246683732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8490813838848).

4246683732480 is an abundant number, since it is smaller than the sum of its proper divisors (12734943945216).

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

4246683732480 is a wasteful number, since it uses less digits than its factorization.

4246683732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 57.

The spelling of 4246683732480 in words is "four trillion, two hundred forty-six billion, six hundred eighty-three million, seven hundred thirty-two thousand, four hundred eighty".