677665535112 has 192 divisors, whose sum is σ = 2021320604160. Its totient is φ = 204170803200.

The previous prime is 677665535069. The next prime is 677665535123. The reversal of 677665535112 is 211535566776.

677665535112 is a `hidden beast` number, since 6 + 7 + 76 + 6 + 5 + 53 + 511 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4902498 + ... + 5038830.

It is an arithmetic number, because the mean of its divisors is an integer number (10527711480).

Almost surely, 2^677665535112 is an apocalyptic number.

677665535112 is a gapful number since it is divisible by the number (62) 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 677665535112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010660302080).

677665535112 is an abundant number, since it is smaller than the sum of its proper divisors (1343655069048).

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

677665535112 is a wasteful number, since it uses less digits than its factorization.

677665535112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136524 (or 136517 counting only the distinct ones).

The product of its digits is 7938000, while the sum is 54.

It can be divided in two parts, 67766 and 5535112, that added together give a triangular number (5602878 = T₃₃₄₇).

The spelling of 677665535112 in words is "six hundred seventy-seven billion, six hundred sixty-five million, five hundred thirty-five thousand, one hundred twelve".