6997086720 has 480 divisors, whose sum is σ = 26958096000. Its totient is φ = 1719484416.

The previous prime is 6997086709. The next prime is 6997086727. The reversal of 6997086720 is 276807996.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6997086727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11680981 + ... + 11681579.

It is an arithmetic number, because the mean of its divisors is an integer number (56162700).

Almost surely, 2^6997086720 is an apocalyptic number.

6997086720 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 6997086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13479048000).

6997086720 is an abundant number, since it is smaller than the sum of its proper divisors (19961009280).

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

6997086720 is a wasteful number, since it uses less digits than its factorization.

6997086720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 6997086720 is about 83648.5906635611. The cubic root of 6997086720 is about 1912.6657695605.

The spelling of 6997086720 in words is "six billion, nine hundred ninety-seven million, eighty-six thousand, seven hundred twenty".