679742460 has 144 divisors (see below), whose sum is σ = 2172066624. Its totient is φ = 171730944.

The previous prime is 679742389. The next prime is 679742473. The reversal of 679742460 is 64247976.

679742460 is a `hidden beast` number, since 67 + 97 + 42 + 460 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 467094 + ... + 468546.

It is an arithmetic number, because the mean of its divisors is an integer number (15083796).

Almost surely, 2^679742460 is an apocalyptic number.

679742460 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 679742460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086033312).

679742460 is an abundant number, since it is smaller than the sum of its proper divisors (1492324164).

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

679742460 is a wasteful number, since it uses less digits than its factorization.

679742460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 679742460 is about 26071.8710490828. The cubic root of 679742460 is about 879.2549047749.

The spelling of 679742460 in words is "six hundred seventy-nine million, seven hundred forty-two thousand, four hundred sixty".