677297223720 has 1280 divisors, whose sum is σ = 2715190632000. Its totient is φ = 150716547072.

The previous prime is 677297223679. The next prime is 677297223769. The reversal of 677297223720 is 27322792776.

It is a happy number.

677297223720 is a `hidden beast` number, since 67 + 7 + 297 + 223 + 72 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 494802510084 + 182494713636 = 703422^2 + 427194^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3509311944 + ... + 3509312136.

Almost surely, 2^677297223720 is an apocalyptic number.

677297223720 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 677297223720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357595316000).

677297223720 is an abundant number, since it is smaller than the sum of its proper divisors (2037893408280).

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

677297223720 is a wasteful number, since it uses less digits than its factorization.

677297223720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 677297223720 in words is "six hundred seventy-seven billion, two hundred ninety-seven million, two hundred twenty-three thousand, seven hundred twenty".