679577472 has 192 divisors, whose sum is σ = 2333739600. Its totient is φ = 194116608.

The previous prime is 679577471. The next prime is 679577473. The reversal of 679577472 is 274775976.

679577472 is a `hidden beast` number, since 67 + 9 + 577 + 4 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (679577471) and next prime (679577473).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679577471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167338 + ... + 171350.

Almost surely, 2^679577472 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 679577472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166869800).

679577472 is an abundant number, since it is smaller than the sum of its proper divisors (1654162128).

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

679577472 is a wasteful number, since it uses less digits than its factorization.

679577472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4025 counting only the distinct ones).

The product of its digits is 5186160, while the sum is 54.

The square root of 679577472 is about 26068.7067573365. The cubic root of 679577472 is about 879.1837610426.

The spelling of 679577472 in words is "six hundred seventy-nine million, five hundred seventy-seven thousand, four hundred seventy-two".