1678199040 has 432 divisors, whose sum is σ = 6934556160. Its totient is φ = 383201280.

The previous prime is 1678199027. The next prime is 1678199053. The reversal of 1678199040 is 409918761.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1678199027) and next prime (1678199053).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1692945 + ... + 1693935.

Almost surely, 2^1678199040 is an apocalyptic number.

1678199040 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 1678199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467278080).

1678199040 is an abundant number, since it is smaller than the sum of its proper divisors (5256357120).

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

1678199040 is an equidigital number, since it uses as much as digits as its factorization.

1678199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1678199040 is about 40965.8277104223. The cubic root of 1678199040 is about 1188.3594463808.

The spelling of 1678199040 in words is "one billion, six hundred seventy-eight million, one hundred ninety-nine thousand, forty".