6989516640 has 288 divisors, whose sum is σ = 24773164416. Its totient is φ = 1793249280.

The previous prime is 6989516627. The next prime is 6989516707. The reversal of 6989516640 is 466159896.

It is a happy number.

6989516640 is a `hidden beast` number, since 6 + 9 + 89 + 516 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×6989516640³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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, 4127634 + ... + 4129326.

It is an arithmetic number, because the mean of its divisors is an integer number (86017932).

Almost surely, 2^6989516640 is an apocalyptic number.

6989516640 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 6989516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12386582208).

6989516640 is an abundant number, since it is smaller than the sum of its proper divisors (17783647776).

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

6989516640 is a wasteful number, since it uses less digits than its factorization.

6989516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 6989516640 is about 83603.3291203167. The cubic root of 6989516640 is about 1911.9757558360.

The spelling of 6989516640 in words is "six billion, nine hundred eighty-nine million, five hundred sixteen thousand, six hundred forty".