677905410900 has 72 divisors (see below), whose sum is σ = 2046684878784. Its totient is φ = 172915001600.

The previous prime is 677905410811. The next prime is 677905410901. The reversal of 677905410900 is 9014509776.

It is a happy number.

It is a super-2 number, since 2×677905410900² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 677905410900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677905410901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49116681 + ... + 49130480.

It is an arithmetic number, because the mean of its divisors is an integer number (28426178872).

Almost surely, 2^677905410900 is an apocalyptic number.

677905410900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

677905410900 is an abundant number, since it is smaller than the sum of its proper divisors (1368779467884).

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

677905410900 is a wasteful number, since it uses less digits than its factorization.

677905410900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98247201 (or 98247194 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 677905410900 in words is "six hundred seventy-seven billion, nine hundred five million, four hundred ten thousand, nine hundred".