677033089200 has 960 divisors, whose sum is σ = 2699819561600. Its totient is φ = 162049351680.

The previous prime is 677033089199. The next prime is 677033089207. The reversal of 677033089200 is 2980330776.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (677033089207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 420777996 + ... + 420779604.

Almost surely, 2^677033089200 is an apocalyptic number.

677033089200 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 677033089200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349909780800).

677033089200 is an abundant number, since it is smaller than the sum of its proper divisors (2022786472400).

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

677033089200 is a wasteful number, since it uses less digits than its factorization.

677033089200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 677033089200 in words is "six hundred seventy-seven billion, thirty-three million, eighty-nine thousand, two hundred".