6377769588960 has 1440 divisors, whose sum is σ = 28991741885568. Its totient is φ = 1305375160320.

The previous prime is 6377769588947. The next prime is 6377769589003. The reversal of 6377769588960 is 698859677736.

6377769588960 is a `hidden beast` number, since 6 + 377 + 7 + 69 + 58 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 6377769588960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 468017667 + ... + 468031293.

Almost surely, 2^{6377769588960} is an apocalyptic number.

6377769588960 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 6377769588960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14495870942784).

6377769588960 is an abundant number, since it is smaller than the sum of its proper divisors (22613972296608).

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

6377769588960 is a wasteful number, since it uses less digits than its factorization.

6377769588960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13746 (or 13722 counting only the distinct ones).

The product of its (nonzero) digits is 5761082880, while the sum is 81.

The spelling of 6377769588960 in words is "six trillion, three hundred seventy-seven billion, seven hundred sixty-nine million, five hundred eighty-eight thousand, nine hundred sixty".