17942983470720 has 2048 divisors, whose sum is σ = 81218764800000. Its totient is φ = 3635386859520.

The previous prime is 17942983470719. The next prime is 17942983470721. The reversal of 17942983470720 is 2707438924971.

17942983470720 is a `hidden beast` number, since 1 + 7 + 9 + 4 + 2 + 98 + 3 + 470 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (17942983470719) and next prime (17942983470721).

It is a super-2 number, since 2×17942983470720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (17942983470721) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29954896981 + ... + 29954897579.

It is an arithmetic number, because the mean of its divisors is an integer number (39657600000).

Almost surely, 2^{17942983470720} is an apocalyptic number.

17942983470720 is a gapful number since it is divisible by the number (10) 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 17942983470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40609382400000).

17942983470720 is an abundant number, since it is smaller than the sum of its proper divisors (63275781329280).

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

17942983470720 is a wasteful number, since it uses less digits than its factorization.

17942983470720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 17942983470720 in words is "seventeen trillion, nine hundred forty-two billion, nine hundred eighty-three million, four hundred seventy thousand, seven hundred twenty".