679070705460 has 192 divisors, whose sum is σ = 2218571679744. Its totient is φ = 151974950400.

The previous prime is 679070705459. The next prime is 679070705477. The reversal of 679070705460 is 64507070976.

679070705460 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×679070705460² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10898595 + ... + 10960725.

It is an arithmetic number, because the mean of its divisors is an integer number (11555060832).

Almost surely, 2^679070705460 is an apocalyptic number.

679070705460 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 679070705460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109285839872).

679070705460 is an abundant number, since it is smaller than the sum of its proper divisors (1539500974284).

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

679070705460 is a wasteful number, since it uses less digits than its factorization.

679070705460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62694 (or 62692 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 51.

The spelling of 679070705460 in words is "six hundred seventy-nine billion, seventy million, seven hundred five thousand, four hundred sixty".