677984736 has 288 divisors, whose sum is σ = 2191432320. Its totient is φ = 181708800.

The previous prime is 677984711. The next prime is 677984767. The reversal of 677984736 is 637489776.

Its product of digits (10668672) is a multiple of the sum of its prime divisors (189).

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, 5175391 + ... + 5175521.

It is an arithmetic number, because the mean of its divisors is an integer number (7609140).

Almost surely, 2^677984736 is an apocalyptic number.

677984736 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 677984736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095716160).

677984736 is an abundant number, since it is smaller than the sum of its proper divisors (1513447584).

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

677984736 is a wasteful number, since it uses less digits than its factorization.

677984736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 189 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 57.

The square root of 677984736 is about 26038.1400257392. The cubic root of 677984736 is about 878.4963716547.

The spelling of 677984736 in words is "six hundred seventy-seven million, nine hundred eighty-four thousand, seven hundred thirty-six".