4277313643680 has 2304 divisors, whose sum is σ = 20558226124800. Its totient is φ = 812665405440.

The previous prime is 4277313643667. The next prime is 4277313643703. The reversal of 4277313643680 is 863463137724.

4277313643680 is a `hidden beast` number, since 4 + 2 + 7 + 73 + 136 + 436 + 8 + 0 = 666.

It is a super-2 number, since 2×4277313643680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1649560464 + ... + 1649563056.

It is an arithmetic number, because the mean of its divisors is an integer number (8922841200).

Almost surely, 2^{4277313643680} is an apocalyptic number.

4277313643680 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 4277313643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10279113062400).

4277313643680 is an abundant number, since it is smaller than the sum of its proper divisors (16280912481120).

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

4277313643680 is a wasteful number, since it uses less digits than its factorization.

4277313643680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 4277313643680 in words is "four trillion, two hundred seventy-seven billion, three hundred thirteen million, six hundred forty-three thousand, six hundred eighty".