677085813720 has 640 divisors, whose sum is σ = 2476940083200. Its totient is φ = 165370512384.

The previous prime is 677085813667. The next prime is 677085813727. The reversal of 677085813720 is 27318580776.

677085813720 is a `hidden beast` number, since 6 + 7 + 7 + 0 + 8 + 581 + 37 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677085813727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 274455927 + ... + 274458393.

It is an arithmetic number, because the mean of its divisors is an integer number (3870218880).

Almost surely, 2^677085813720 is an apocalyptic number.

677085813720 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 677085813720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238470041600).

677085813720 is an abundant number, since it is smaller than the sum of its proper divisors (1799854269480).

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

677085813720 is a wasteful number, since it uses less digits than its factorization.

677085813720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 677085813720 in words is "six hundred seventy-seven billion, eighty-five million, eight hundred thirteen thousand, seven hundred twenty".