17978268415680 has 336 divisors, whose sum is σ = 65343158599680. Its totient is φ = 4527712290816.

The previous prime is 17978268415663. The next prime is 17978268415687. The reversal of 17978268415680 is 8651486287971.

It is a happy number.

17978268415680 is a `hidden beast` number, since 1 + 7 + 9 + 78 + 2 + 68 + 415 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 17978268415599 and 17978268415608.

It is not an unprimeable number, because it can be changed into a prime (17978268415687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3515169 + ... + 6950751.

Almost surely, 2^{17978268415680} is an apocalyptic number.

17978268415680 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 17978268415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32671579299840).

17978268415680 is an abundant number, since it is smaller than the sum of its proper divisors (47364890184000).

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

17978268415680 is a wasteful number, since it uses less digits than its factorization.

17978268415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435708 (or 3435695 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 17978268415680 in words is "seventeen trillion, nine hundred seventy-eight billion, two hundred sixty-eight million, four hundred fifteen thousand, six hundred eighty".