677374652021760 has 6336 divisors, whose sum is σ = 3253385684989440. Its totient is φ = 133437652992000.

The previous prime is 677374652021693. The next prime is 677374652021917. The reversal of 677374652021760 is 67120256473776.

677374652021760 is a `hidden beast` number, since 6 + 7 + 7 + 3 + 7 + 46 + 520 + 2 + 1 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1186295362275 + ... + 1186295362845.

It is an arithmetic number, because the mean of its divisors is an integer number (513476276040).

Almost surely, 2^{677374652021760} is an apocalyptic number.

677374652021760 is a gapful number since it is divisible by the number (60) 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 677374652021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626692842494720).

677374652021760 is an abundant number, since it is smaller than the sum of its proper divisors (2576011032967680).

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

677374652021760 is a wasteful number, since it uses less digits than its factorization.

677374652021760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 124467840, while the sum is 63.

The spelling of 677374652021760 in words is "six hundred seventy-seven trillion, three hundred seventy-four billion, six hundred fifty-two million, twenty-one thousand, seven hundred sixty".