677540430600 has 384 divisors, whose sum is σ = 2348011860480. Its totient is φ = 160199424000.

The previous prime is 677540430587. The next prime is 677540430601. The reversal of 677540430600 is 6034045776.

It is a happy number.

It is a super-2 number, since 2×677540430600² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (677540430601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268757340 + ... + 268759860.

It is an arithmetic number, because the mean of its divisors is an integer number (6114614220).

Almost surely, 2^677540430600 is an apocalyptic number.

677540430600 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 677540430600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174005930240).

677540430600 is an abundant number, since it is smaller than the sum of its proper divisors (1670471429880).

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

677540430600 is a wasteful number, since it uses less digits than its factorization.

677540430600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 677540430600 in words is "six hundred seventy-seven billion, five hundred forty million, four hundred thirty thousand, six hundred".