679000469760 has 324 divisors, whose sum is σ = 2427538017996. Its totient is φ = 175223070720.

The previous prime is 679000469759. The next prime is 679000469767. The reversal of 679000469760 is 67964000976.

It can be written as a sum of positive squares in 2 ways, for example, as 501671890944 + 177328578816 = 708288^2 + 421104^2 .

It is a super-2 number, since 2×679000469760² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 679000469697 and 679000469706.

It is not an unprimeable number, because it can be changed into a prime (679000469767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11040054 + ... + 11101386.

Almost surely, 2^679000469760 is an apocalyptic number.

679000469760 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 679000469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213769008998).

679000469760 is an abundant number, since it is smaller than the sum of its proper divisors (1748537548236).

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

679000469760 is a wasteful number, since it uses less digits than its factorization.

679000469760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61422 (or 61374 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 679000469760 in words is "six hundred seventy-nine billion, four hundred sixty-nine thousand, seven hundred sixty".