677984580000 has 2520 divisors, whose sum is σ = 3175750362708. Its totient is φ = 141087744000.

The previous prime is 677984579957. The next prime is 677984580001. The reversal of 677984580000 is 85489776.

677984580000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 125715630096 + 552268949904 = 354564^2 + 743148^2 .

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is not an unprimeable number, because it can be changed into a prime (677984580001) by changing a digit.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 9287459964 + ... + 9287460036.

Almost surely, 2^677984580000 is an apocalyptic number.

677984580000 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 677984580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587875181354).

677984580000 is an abundant number, since it is smaller than the sum of its proper divisors (2497765782708).

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

677984580000 is an equidigital number, since it uses as much as digits as its factorization.

677984580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 677984580000 in words is "six hundred seventy-seven billion, nine hundred eighty-four million, five hundred eighty thousand".