677768212800 has 2352 divisors, whose sum is σ = 3197405888640. Its totient is φ = 137594142720.

The previous prime is 677768212777. The next prime is 677768212837. The reversal of 677768212800 is 8212867776.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2637230272 + ... + 2637230528.

Almost surely, 2^677768212800 is an apocalyptic number.

677768212800 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 677768212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598702944320).

677768212800 is an abundant number, since it is smaller than the sum of its proper divisors (2519637675840).

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

677768212800 is a wasteful number, since it uses less digits than its factorization.

677768212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 677768212800 in words is "six hundred seventy-seven billion, seven hundred sixty-eight million, two hundred twelve thousand, eight hundred".