677373648 has 120 divisors (see below), whose sum is σ = 2105981280. Its totient is φ = 186842880.

The previous prime is 677373647. The next prime is 677373649. The reversal of 677373648 is 846373776.

It is an interprime number because it is at equal distance from previous prime (677373647) and next prime (677373649).

It is a super-3 number, since 3×677373648³ (a number of 27 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 677373648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677373647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63243 + ... + 73173.

It is an arithmetic number, because the mean of its divisors is an integer number (17549844).

Almost surely, 2^677373648 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 677373648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052990640).

677373648 is an abundant number, since it is smaller than the sum of its proper divisors (1428607632).

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

677373648 is a wasteful number, since it uses less digits than its factorization.

677373648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9985 (or 9972 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 51.

The square root of 677373648 is about 26026.4029016689. The cubic root of 677373648 is about 878.2323539305.

The spelling of 677373648 in words is "six hundred seventy-seven million, three hundred seventy-three thousand, six hundred forty-eight".