677339058240 has 672 divisors, whose sum is σ = 2602519535616. Its totient is φ = 160566312960.

The previous prime is 677339058211. The next prime is 677339058247. The reversal of 677339058240 is 42850933776.

677339058240 is a `hidden beast` number, since 6 + 7 + 7 + 3 + 390 + 5 + 8 + 240 = 666.

It is a super-2 number, since 2×677339058240² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (677339058247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258821412 + ... + 258824028.

It is an arithmetic number, because the mean of its divisors is an integer number (3872796928).

Almost surely, 2^677339058240 is an apocalyptic number.

677339058240 is a gapful number since it is divisible by the number (60) 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 677339058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301259767808).

677339058240 is an abundant number, since it is smaller than the sum of its proper divisors (1925180477376).

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

677339058240 is a wasteful number, since it uses less digits than its factorization.

677339058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 677339058240 in words is "six hundred seventy-seven billion, three hundred thirty-nine million, fifty-eight thousand, two hundred forty".