677268500634 has 80 divisors (see below), whose sum is σ = 1656597951360. Its totient is φ = 205102376640.

The previous prime is 677268500633. The next prime is 677268500683. The reversal of 677268500634 is 436005862776.

677268500634 is a `hidden beast` number, since 6 + 7 + 72 + 6 + 8 + 500 + 63 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (677268500633) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2700862 + ... + 2940950.

It is an arithmetic number, because the mean of its divisors is an integer number (20707474392).

Almost surely, 2^677268500634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677268500634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828298975680).

677268500634 is an abundant number, since it is smaller than the sum of its proper divisors (979329450726).

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

677268500634 is a wasteful number, since it uses less digits than its factorization.

677268500634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241697 (or 241688 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 677268500634 in words is "six hundred seventy-seven billion, two hundred sixty-eight million, five hundred thousand, six hundred thirty-four".