679134838536 has 1024 divisors, whose sum is σ = 2479196160000. Its totient is φ = 172121241600.

The previous prime is 679134838531. The next prime is 679134838537. The reversal of 679134838536 is 635838431976.

679134838536 is a `hidden beast` number, since 6 + 7 + 9 + 13 + 4 + 83 + 8 + 536 = 666.

It is a super-2 number, since 2×679134838536² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679134838531) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7001390040 + ... + 7001390136.

It is an arithmetic number, because the mean of its divisors is an integer number (2421090000).

Almost surely, 2^679134838536 is an apocalyptic number.

679134838536 is a gapful number since it is divisible by the number (66) 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 679134838536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239598080000).

679134838536 is an abundant number, since it is smaller than the sum of its proper divisors (1800061321464).

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

679134838536 is a wasteful number, since it uses less digits than its factorization.

679134838536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 191 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 679134838536 in words is "six hundred seventy-nine billion, one hundred thirty-four million, eight hundred thirty-eight thousand, five hundred thirty-six".