677527633720 has 128 divisors (see below), whose sum is σ = 1815224463360. Its totient is φ = 222700538880.

The previous prime is 677527633709. The next prime is 677527633771. The reversal of 677527633720 is 27336725776.

It is a happy number.

It is a super-3 number, since 3×677527633720³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 564012 + ... + 1293508.

It is an arithmetic number, because the mean of its divisors is an integer number (14181441120).

Almost surely, 2^677527633720 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 677527633720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907612231680).

677527633720 is an abundant number, since it is smaller than the sum of its proper divisors (1137696829640).

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

677527633720 is a wasteful number, since it uses less digits than its factorization.

677527633720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729653 (or 729649 counting only the distinct ones).

The product of its (nonzero) digits is 15558480, while the sum is 55.

The spelling of 677527633720 in words is "six hundred seventy-seven billion, five hundred twenty-seven million, six hundred thirty-three thousand, seven hundred twenty".