1678377984 has 88 divisors (see below), whose sum is σ = 4494032928. Its totient is φ = 556892160.

The previous prime is 1678377959. The next prime is 1678377991. The reversal of 1678377984 is 4897738761.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 739219 + ... + 741485.

It is an arithmetic number, because the mean of its divisors is an integer number (51068556).

Almost surely, 2^1678377984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1678377984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247016464).

1678377984 is an abundant number, since it is smaller than the sum of its proper divisors (2815654944).

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

1678377984 is a wasteful number, since it uses less digits than its factorization.

1678377984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2513 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 60.

The square root of 1678377984 is about 40968.0117164600. The cubic root of 1678377984 is about 1188.4016825777.

The spelling of 1678377984 in words is "one billion, six hundred seventy-eight million, three hundred seventy-seven thousand, nine hundred eighty-four".