6706981440 has 560 divisors, whose sum is σ = 26129309184. Its totient is φ = 1625702400.

The previous prime is 6706981403. The next prime is 6706981441. The reversal of 6706981440 is 441896076.

6706981440 is a `hidden beast` number, since 6 + 70 + 69 + 81 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6706981441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13659595 + ... + 13660085.

Almost surely, 2^6706981440 is an apocalyptic number.

6706981440 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 6706981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13064654592).

6706981440 is an abundant number, since it is smaller than the sum of its proper divisors (19422327744).

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

6706981440 is a wasteful number, since it uses less digits than its factorization.

6706981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6706981440 is about 81896.1625474601. The cubic root of 6706981440 is about 1885.8582015310.

The spelling of 6706981440 in words is "six billion, seven hundred six million, nine hundred eighty-one thousand, four hundred forty".