677346707583 has 96 divisors (see below), whose sum is σ = 1260526804992. Its totient is φ = 340885843200.

The previous prime is 677346707579. The next prime is 677346707591. The reversal of 677346707583 is 385707643776.

It is a happy number.

677346707583 is a `hidden beast` number, since 6 + 7 + 7 + 3 + 46 + 7 + 0 + 7 + 583 = 666.

677346707583 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 not a de Polignac number, because 677346707583 - 2² = 677346707579 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 677346707583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677346707593) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1614741 + ... + 1990497.

It is an arithmetic number, because the mean of its divisors is an integer number (13130487552).

Almost surely, 2^677346707583 is an apocalyptic number.

677346707583 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

677346707583 is a deficient number, since it is larger than the sum of its proper divisors (583180097409).

677346707583 is a wasteful number, since it uses less digits than its factorization.

677346707583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375885 (or 375882 counting only the distinct ones).

The product of its (nonzero) digits is 124467840, while the sum is 63.

The spelling of 677346707583 in words is "six hundred seventy-seven billion, three hundred forty-six million, seven hundred seven thousand, five hundred eighty-three".