679610487600 has 1440 divisors, whose sum is σ = 2797570944000. Its totient is φ = 156367411200.

The previous prime is 679610487583. The next prime is 679610487607. The reversal of 679610487600 is 6784016976.

It is a happy number.

679610487600 is a `hidden beast` number, since 6 + 7 + 96 + 10 + 487 + 60 + 0 = 666.

679610487600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (679610487607) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2993878687 + ... + 2993878913.

It is an arithmetic number, because the mean of its divisors is an integer number (1942757600).

Almost surely, 2^679610487600 is an apocalyptic number.

679610487600 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 679610487600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398785472000).

679610487600 is an abundant number, since it is smaller than the sum of its proper divisors (2117960456400).

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

679610487600 is a wasteful number, since it uses less digits than its factorization.

679610487600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 679610487600 in words is "six hundred seventy-nine billion, six hundred ten million, four hundred eighty-seven thousand, six hundred".