677600280000 has 840 divisors, whose sum is σ = 2937055616352. Its totient is φ = 145760256000.

The previous prime is 677600279947. The next prime is 677600280011. The reversal of 677600280000 is 82006776.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-3 number, since 3×677600280000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42832092 + ... + 42847908.

Almost surely, 2^677600280000 is an apocalyptic number.

677600280000 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 677600280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468527808176).

677600280000 is an abundant number, since it is smaller than the sum of its proper divisors (2259455336352).

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

677600280000 is a wasteful number, since it uses less digits than its factorization.

677600280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15879 (or 15851 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 677600280000 its reverse (82006776), we get a palindrome (677682286776).

The spelling of 677600280000 in words is "six hundred seventy-seven billion, six hundred million, two hundred eighty thousand".