1678819632 has 320 divisors, whose sum is σ = 5713920000. Its totient is φ = 413061120.

The previous prime is 1678819609. The next prime is 1678819673. The reversal of 1678819632 is 2369188761.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3364119 + ... + 3364617.

It is an arithmetic number, because the mean of its divisors is an integer number (17856000).

Almost surely, 2^1678819632 is an apocalyptic number.

1678819632 is a gapful number since it is divisible by the number (12) 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 1678819632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856960000).

1678819632 is an abundant number, since it is smaller than the sum of its proper divisors (4035100368).

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

1678819632 is a wasteful number, since it uses less digits than its factorization.

1678819632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 578 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 1678819632 is about 40973.4015185462. The cubic root of 1678819632 is about 1188.5059120185.

The spelling of 1678819632 in words is "one billion, six hundred seventy-eight million, eight hundred nineteen thousand, six hundred thirty-two".