6981200064 has 84 divisors (see below), whose sum is σ = 20023750656. Its totient is φ = 2325508608.

The previous prime is 6981200047. The next prime is 6981200069. The reversal of 6981200064 is 4600021896.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6981200069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1133377 + ... + 1139519.

It is an arithmetic number, because the mean of its divisors is an integer number (238377984).

Almost surely, 2^6981200064 is an apocalyptic number.

6981200064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6981200064 is an abundant number, since it is smaller than the sum of its proper divisors (13042550592).

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

6981200064 is a wasteful number, since it uses less digits than its factorization.

6981200064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8134 (or 8121 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6981200064 is about 83553.5760096478. The cubic root of 6981200064 is about 1911.2171243316.

The spelling of 6981200064 in words is "six billion, nine hundred eighty-one million, two hundred thousand, sixty-four".