677977366248 has 768 divisors, whose sum is σ = 2494691136000. Its totient is φ = 166450692096.

The previous prime is 677977366217. The next prime is 677977366271. The reversal of 677977366248 is 842663779776.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 421364868 + ... + 421366476.

It is an arithmetic number, because the mean of its divisors is an integer number (3248295750).

Almost surely, 2^677977366248 is an apocalyptic number.

677977366248 is a gapful number since it is divisible by the number (68) 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 677977366248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247345568000).

677977366248 is an abundant number, since it is smaller than the sum of its proper divisors (1816713769752).

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

677977366248 is a wasteful number, since it uses less digits than its factorization.

677977366248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1748 counting only the distinct ones).

The product of its digits is 896168448, while the sum is 72.

The spelling of 677977366248 in words is "six hundred seventy-seven billion, nine hundred seventy-seven million, three hundred sixty-six thousand, two hundred forty-eight".