677211708096 has 756 divisors, whose sum is σ = 2524774117320. Its totient is φ = 172866355200.

The previous prime is 677211708091. The next prime is 677211708157. The reversal of 677211708096 is 690807112776.

It is not an unprimeable number, because it can be changed into a prime (677211708091) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 201489456 + ... + 201492816.

Almost surely, 2^677211708096 is an apocalyptic number.

677211708096 is a gapful number since it is divisible by the number (66) 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 677211708096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262387058660).

677211708096 is an abundant number, since it is smaller than the sum of its proper divisors (1847562409224).

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

677211708096 is a wasteful number, since it uses less digits than its factorization.

677211708096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 677211708096 in words is "six hundred seventy-seven billion, two hundred eleven million, seven hundred eight thousand, ninety-six".