677753683488 has 1152 divisors, whose sum is σ = 2499865804800. Its totient is φ = 169885900800.

The previous prime is 677753683469. The next prime is 677753683489. The reversal of 677753683488 is 884386357776.

677753683488 is a `hidden beast` number, since 6 + 7 + 7 + 7 + 536 + 8 + 3 + 4 + 88 = 666.

It is a super-2 number, since 2×677753683488² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (677753683489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2959622958 + ... + 2959623186.

It is an arithmetic number, because the mean of its divisors is an integer number (2170022400).

Almost surely, 2^677753683488 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 677753683488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249932902400).

677753683488 is an abundant number, since it is smaller than the sum of its proper divisors (1822112121312).

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

677753683488 is a wasteful number, since it uses less digits than its factorization.

677753683488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

The product of its digits is 1137991680, while the sum is 72.

The spelling of 677753683488 in words is "six hundred seventy-seven billion, seven hundred fifty-three million, six hundred eighty-three thousand, four hundred eighty-eight".