677745477360 has 480 divisors, whose sum is σ = 2625735370752. Its totient is φ = 153460224000.

The previous prime is 677745477337. The next prime is 677745477397. The reversal of 677745477360 is 63774547776.

It is a happy number.

677745477360 is a `hidden beast` number, since 67 + 7 + 7 + 45 + 477 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 518549827 + ... + 518551133.

Almost surely, 2^677745477360 is an apocalyptic number.

677745477360 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 677745477360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312867685376).

677745477360 is an abundant number, since it is smaller than the sum of its proper divisors (1947989893392).

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

677745477360 is a wasteful number, since it uses less digits than its factorization.

677745477360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 145212480, while the sum is 63.

The spelling of 677745477360 in words is "six hundred seventy-seven billion, seven hundred forty-five million, four hundred seventy-seven thousand, three hundred sixty".