1678634496 has 640 divisors, whose sum is σ = 6599577600. Its totient is φ = 408084480.

The previous prime is 1678634483. The next prime is 1678634527. The reversal of 1678634496 is 6944368761.

It is a super-2 number, since 2×1678634496² = 5635627542322348032, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 20224471 + ... + 20224553.

It is an arithmetic number, because the mean of its divisors is an integer number (10311840).

Almost surely, 2^1678634496 is an apocalyptic number.

1678634496 is a gapful number since it is divisible by the number (16) 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 1678634496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299788800).

1678634496 is an abundant number, since it is smaller than the sum of its proper divisors (4920943104).

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

1678634496 is a wasteful number, since it uses less digits than its factorization.

1678634496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 1678634496 is about 40971.1422345045. The cubic root of 1678634496 is about 1188.4622219331.

The spelling of 1678634496 in words is "one billion, six hundred seventy-eight million, six hundred thirty-four thousand, four hundred ninety-six".