8377447680 has 1080 divisors, whose sum is σ = 37301900328. Its totient is φ = 1783627776.

The previous prime is 8377447651. The next prime is 8377447693. The reversal of 8377447680 is 867447738.

It can be written as a sum of positive squares in 4 ways, for example, as 1545433344 + 6832014336 = 39312^2 + 82656^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×8377447680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86365392 + ... + 86365488.

Almost surely, 2^8377447680 is an apocalyptic number.

8377447680 is a gapful number since it is divisible by the number (80) 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 8377447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18650950164).

8377447680 is an abundant number, since it is smaller than the sum of its proper divisors (28924452648).

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

8377447680 is a wasteful number, since it uses less digits than its factorization.

8377447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The square root of 8377447680 is about 91528.3982160728. The cubic root of 8377447680 is about 2030.9718691626.

The spelling of 8377447680 in words is "eight billion, three hundred seventy-seven million, four hundred forty-seven thousand, six hundred eighty".