677611223498880 has 2560 divisors, whose sum is σ = 2778307817472000. Its totient is φ = 155886280704000.

The previous prime is 677611223498863. The next prime is 677611223498921. The reversal of 677611223498880 is 88894322116776.

It is a happy number.

677611223498880 is a `hidden beast` number, since 6 + 7 + 7 + 6 + 1 + 122 + 3 + 498 + 8 + 8 + 0 = 666.

It is a super-3 number, since 3×677611223498880³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 677611223498799 and 677611223498808.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 249764548404 + ... + 249764551116.

It is an arithmetic number, because the mean of its divisors is an integer number (1085276491200).

Almost surely, 2^{677611223498880} is an apocalyptic number.

677611223498880 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 677611223498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389153908736000).

677611223498880 is an abundant number, since it is smaller than the sum of its proper divisors (2100696593973120).

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

677611223498880 is a wasteful number, since it uses less digits than its factorization.

677611223498880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 677611223498880 in words is "six hundred seventy-seven trillion, six hundred eleven billion, two hundred twenty-three million, four hundred ninety-eight thousand, eight hundred eighty".