679704480 has 864 divisors, whose sum is σ = 3154334400. Its totient is φ = 135862272.

The previous prime is 679704479. The next prime is 679704503. The reversal of 679704480 is 84407976.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35773911 + ... + 35773929.

It is an arithmetic number, because the mean of its divisors is an integer number (3650850).

Almost surely, 2^679704480 is an apocalyptic number.

679704480 is a gapful number since it is divisible by the number (60) 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 679704480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577167200).

679704480 is an abundant number, since it is smaller than the sum of its proper divisors (2474629920).

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

679704480 is a wasteful number, since it uses less digits than its factorization.

679704480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 679704480 is about 26071.1426677083. The cubic root of 679704480 is about 879.2385286103.

The spelling of 679704480 in words is "six hundred seventy-nine million, seven hundred four thousand, four hundred eighty".