677391071616 has 480 divisors, whose sum is σ = 2468490096600. Its totient is φ = 183351361536.

The previous prime is 677391071611. The next prime is 677391071627. The reversal of 677391071616 is 616170193776.

677391071616 is a `hidden beast` number, since 6 + 7 + 7 + 3 + 9 + 10 + 7 + 1 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677391071611) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9617520 + ... + 9687696.

Almost surely, 2^677391071616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677391071616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234245048300).

677391071616 is an abundant number, since it is smaller than the sum of its proper divisors (1791099024984).

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

677391071616 is a wasteful number, since it uses less digits than its factorization.

677391071616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70236 (or 70208 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 677391071616 in words is "six hundred seventy-seven billion, three hundred ninety-one million, seventy-one thousand, six hundred sixteen".