678767379840 has 768 divisors, whose sum is σ = 2646216518400. Its totient is φ = 158874255360.

The previous prime is 678767379781. The next prime is 678767379889. The reversal of 678767379840 is 48973767876.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325859439 + ... + 325861521.

It is an arithmetic number, because the mean of its divisors is an integer number (3445594425).

Almost surely, 2^678767379840 is an apocalyptic number.

678767379840 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 678767379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323108259200).

678767379840 is an abundant number, since it is smaller than the sum of its proper divisors (1967449138560).

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

678767379840 is a wasteful number, since it uses less digits than its factorization.

678767379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 597445632, while the sum is 72.

The spelling of 678767379840 in words is "six hundred seventy-eight billion, seven hundred sixty-seven million, three hundred seventy-nine thousand, eight hundred forty".