1679468648 has 256 divisors, whose sum is σ = 4180377600. Its totient is φ = 620928000.

The previous prime is 1679468633. The next prime is 1679468669. The reversal of 1679468648 is 8468649761.

It is a super-2 number, since 2×1679468648² = 5641229879229895808, which contains 22 as substring.

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, 23654453 + ... + 23654523.

It is an arithmetic number, because the mean of its divisors is an integer number (16329600).

Almost surely, 2^1679468648 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 1679468648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090188800).

1679468648 is an abundant number, since it is smaller than the sum of its proper divisors (2500908952).

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

1679468648 is a wasteful number, since it uses less digits than its factorization.

1679468648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 180 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 59.

The square root of 1679468648 is about 40981.3207205429. The cubic root of 1679468648 is about 1188.6590473841.

The spelling of 1679468648 in words is "one billion, six hundred seventy-nine million, four hundred sixty-eight thousand, six hundred forty-eight".