17978458680 has 960 divisors, whose sum is σ = 78420545280. Its totient is φ = 3657830400.

The previous prime is 17978458657. The next prime is 17978458703. The reversal of 17978458680 is 8685487971.

17978458680 is a `hidden beast` number, since 17 + 97 + 8 + 458 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (17978458657) and next prime (17978458703).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 63980140 + ... + 63980420.

It is an arithmetic number, because the mean of its divisors is an integer number (81688068).

Almost surely, 2^17978458680 is an apocalyptic number.

17978458680 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 17978458680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39210272640).

17978458680 is an abundant number, since it is smaller than the sum of its proper divisors (60442086600).

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

17978458680 is a wasteful number, since it uses less digits than its factorization.

17978458680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 17978458680 in words is "seventeen billion, nine hundred seventy-eight million, four hundred fifty-eight thousand, six hundred eighty".