677726019072 has 480 divisors, whose sum is σ = 2120733014400. Its totient is φ = 207580299264.

The previous prime is 677726019071. The next prime is 677726019077. The reversal of 677726019072 is 270910627776.

677726019072 is a `hidden beast` number, since 67 + 77 + 260 + 190 + 72 = 666.

677726019072 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (677726019071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 600288204 + ... + 600289332.

It is an arithmetic number, because the mean of its divisors is an integer number (4418193780).

Almost surely, 2^677726019072 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 677726019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060366507200).

677726019072 is an abundant number, since it is smaller than the sum of its proper divisors (1443006995328).

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

677726019072 is a wasteful number, since it uses less digits than its factorization.

677726019072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 677726019072 in words is "six hundred seventy-seven billion, seven hundred twenty-six million, nineteen thousand, seventy-two".