17978693040 has 960 divisors, whose sum is σ = 80554844160. Its totient is φ = 3603916800.

The previous prime is 17978693039. The next prime is 17978693041. The reversal of 17978693040 is 4039687971.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (17978693039) and next prime (17978693041).

It is a super-3 number, since 3×17978693040³ (a number of 32 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (17978693041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56714962 + ... + 56715278.

It is an arithmetic number, because the mean of its divisors is an integer number (83911296).

Almost surely, 2^17978693040 is an apocalyptic number.

17978693040 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 17978693040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40277422080).

17978693040 is an abundant number, since it is smaller than the sum of its proper divisors (62576151120).

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

17978693040 is a wasteful number, since it uses less digits than its factorization.

17978693040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 17978693040 in words is "seventeen billion, nine hundred seventy-eight million, six hundred ninety-three thousand, forty".