6987066240 has 512 divisors, whose sum is σ = 28031754240. Its totient is φ = 1438064640.

The previous prime is 6987066239. The next prime is 6987066253. The reversal of 6987066240 is 426607896.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6987066240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24689139 + ... + 24689421.

It is an arithmetic number, because the mean of its divisors is an integer number (54749520).

Almost surely, 2^6987066240 is an apocalyptic number.

6987066240 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 6987066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14015877120).

6987066240 is an abundant number, since it is smaller than the sum of its proper divisors (21044688000).

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

6987066240 is a wasteful number, since it uses less digits than its factorization.

6987066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 6987066240 is about 83588.6729168492. The cubic root of 6987066240 is about 1911.7522948422.

The spelling of 6987066240 in words is "six billion, nine hundred eighty-seven million, sixty-six thousand, two hundred forty".