679956480 has 624 divisors, whose sum is σ = 2944041984. Its totient is φ = 141557760.

The previous prime is 679956469. The next prime is 679956491. The reversal of 679956480 is 84659976.

679956480 is a `hidden beast` number, since 6 + 79 + 9 + 564 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (679956469) and next prime (679956491).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21934065 + ... + 21934095.

It is an arithmetic number, because the mean of its divisors is an integer number (4718016).

Almost surely, 2^679956480 is an apocalyptic number.

679956480 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 679956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472020992).

679956480 is an abundant number, since it is smaller than the sum of its proper divisors (2264085504).

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

679956480 is a wasteful number, since it uses less digits than its factorization.

679956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 679956480 is about 26075.9751495510. The cubic root of 679956480 is about 879.3471742248.

The spelling of 679956480 in words is "six hundred seventy-nine million, nine hundred fifty-six thousand, four hundred eighty".