6996036560 has 80 divisors (see below), whose sum is σ = 16851756240. Its totient is φ = 2697891840.

The previous prime is 6996036499. The next prime is 6996036581. The reversal of 6996036560 is 656306996.

It can be written as a sum of positive squares in 8 ways, for example, as 1272206224 + 5723830336 = 35668^2 + 75656^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 6996036499 and 6996036508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1902884 + ... + 1906556.

It is an arithmetic number, because the mean of its divisors is an integer number (210646953).

Almost surely, 2^6996036560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6996036560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8425878120).

6996036560 is an abundant number, since it is smaller than the sum of its proper divisors (9855719680).

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

6996036560 is a wasteful number, since it uses less digits than its factorization.

6996036560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 50.

The square root of 6996036560 is about 83642.3132152620. The cubic root of 6996036560 is about 1912.5700770882.

The spelling of 6996036560 in words is "six billion, nine hundred ninety-six million, thirty-six thousand, five hundred sixty".