677063918916 has 288 divisors, whose sum is σ = 2357527431168. Its totient is φ = 158319406080.

The previous prime is 677063918891. The next prime is 677063918941. The reversal of 677063918916 is 619819360776.

It is an interprime number because it is at equal distance from previous prime (677063918891) and next prime (677063918941).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 771511 + ... + 1396193.

It is an arithmetic number, because the mean of its divisors is an integer number (8185859136).

Almost surely, 2^677063918916 is an apocalyptic number.

677063918916 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 677063918916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178763715584).

677063918916 is an abundant number, since it is smaller than the sum of its proper divisors (1680463512252).

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

677063918916 is a wasteful number, since it uses less digits than its factorization.

677063918916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624751 (or 624746 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 677063918916 in words is "six hundred seventy-seven billion, sixty-three million, nine hundred eighteen thousand, nine hundred sixteen".