678720289280 has 320 divisors, whose sum is σ = 1842224947200. Its totient is φ = 237584793600.

The previous prime is 678720289223. The next prime is 678720289309. The reversal of 678720289280 is 82982027876.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×678720289280² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173717087 + ... + 173720993.

It is an arithmetic number, because the mean of its divisors is an integer number (5756952960).

Almost surely, 2^678720289280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678720289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921112473600).

678720289280 is an abundant number, since it is smaller than the sum of its proper divisors (1163504657920).

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

678720289280 is a wasteful number, since it uses less digits than its factorization.

678720289280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4171 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 59.

The spelling of 678720289280 in words is "six hundred seventy-eight billion, seven hundred twenty million, two hundred eighty-nine thousand, two hundred eighty".