677123257993728 has 640 divisors, whose sum is σ = 2398757544691200. Its totient is φ = 168077108183040.

The previous prime is 677123257993697. The next prime is 677123257993753. The reversal of 677123257993728 is 827399752321776.

It is a Harshad number since it is a multiple of its sum of digits (78).

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, 113525638 + ... + 119341178.

It is an arithmetic number, because the mean of its divisors is an integer number (3748058663580).

Almost surely, 2^{677123257993728} is an apocalyptic number.

677123257993728 is a gapful number since it is divisible by the number (68) 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 677123257993728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199378772345600).

677123257993728 is an abundant number, since it is smaller than the sum of its proper divisors (1721634286697472).

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

677123257993728 is a wasteful number, since it uses less digits than its factorization.

677123257993728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5815613 (or 5815583 counting only the distinct ones).

The product of its digits is 3360631680, while the sum is 78.

The spelling of 677123257993728 in words is "six hundred seventy-seven trillion, one hundred twenty-three billion, two hundred fifty-seven million, nine hundred ninety-three thousand, seven hundred twenty-eight".