1678409712 has 120 divisors (see below), whose sum is σ = 5493231744. Its totient is φ = 468381312.

The previous prime is 1678409701. The next prime is 1678409717. The reversal of 1678409712 is 2179048761.

It is a happy number.

It is a super-2 number, since 2×1678409712² = 5634118322671845888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678409717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23983 + ... + 62705.

Almost surely, 2^1678409712 is an apocalyptic number.

1678409712 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 1678409712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746615872).

1678409712 is an abundant number, since it is smaller than the sum of its proper divisors (3814822032).

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

1678409712 is a wasteful number, since it uses less digits than its factorization.

1678409712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38787 (or 38778 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1678409712 is about 40968.3989435760. The cubic root of 1678409712 is about 1188.4091710321.

The spelling of 1678409712 in words is "one billion, six hundred seventy-eight million, four hundred nine thousand, seven hundred twelve".