4206690301680 has 480 divisors, whose sum is σ = 15297429026880. Its totient is φ = 1032486912000.

The previous prime is 4206690301633. The next prime is 4206690301691. The reversal of 4206690301680 is 861030966024.

4206690301680 is a `hidden beast` number, since 4 + 206 + 69 + 0 + 301 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135156520 + ... + 135187640.

It is an arithmetic number, because the mean of its divisors is an integer number (31869643806).

Almost surely, 2^{4206690301680} is an apocalyptic number.

4206690301680 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 4206690301680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7648714513440).

4206690301680 is an abundant number, since it is smaller than the sum of its proper divisors (11090738725200).

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

4206690301680 is a wasteful number, since it uses less digits than its factorization.

4206690301680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31441 (or 31432 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 4206690301680 in words is "four trillion, two hundred six billion, six hundred ninety million, three hundred one thousand, six hundred eighty".