677562336 has 288 divisors, whose sum is σ = 2326641408. Its totient is φ = 184504320.

The previous prime is 677562329. The next prime is 677562341. The reversal of 677562336 is 633265776.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 677562291 and 677562300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1238415 + ... + 1238961.

It is an arithmetic number, because the mean of its divisors is an integer number (8078616).

Almost surely, 2^677562336 is an apocalyptic number.

677562336 is a gapful number since it is divisible by the number (66) 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 677562336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163320704).

677562336 is an abundant number, since it is smaller than the sum of its proper divisors (1649079072).

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

677562336 is a wasteful number, since it uses less digits than its factorization.

677562336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 603 counting only the distinct ones).

The product of its digits is 952560, while the sum is 45.

The square root of 677562336 is about 26030.0275835428. The cubic root of 677562336 is about 878.3138926413.

The spelling of 677562336 in words is "six hundred seventy-seven million, five hundred sixty-two thousand, three hundred thirty-six".