677865737142 has 576 divisors, whose sum is σ = 1894735245312. Its totient is φ = 172491264000.

The previous prime is 677865737137. The next prime is 677865737149. The reversal of 677865737142 is 241737568776.

It is a self number, because there is not a number n which added to its sum of digits gives 677865737142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677865737149) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8167057033 + ... + 8167057115.

It is an arithmetic number, because the mean of its divisors is an integer number (3289470912).

Almost surely, 2^677865737142 is an apocalyptic number.

677865737142 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 677865737142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947367622656).

677865737142 is an abundant number, since it is smaller than the sum of its proper divisors (1216869508170).

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

677865737142 is a wasteful number, since it uses less digits than its factorization.

677865737142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 211 counting only the distinct ones).

The product of its digits is 82978560, while the sum is 63.

The spelling of 677865737142 in words is "six hundred seventy-seven billion, eight hundred sixty-five million, seven hundred thirty-seven thousand, one hundred forty-two".