6820964640 has 720 divisors, whose sum is σ = 29282565312. Its totient is φ = 1488098304.

The previous prime is 6820964611. The next prime is 6820964669. The reversal of 6820964640 is 464690286.

It is an interprime number because it is at equal distance from previous prime (6820964611) and next prime (6820964669).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14605687 + ... + 14606153.

Almost surely, 2^6820964640 is an apocalyptic number.

6820964640 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 6820964640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641282656).

6820964640 is an abundant number, since it is smaller than the sum of its proper divisors (22461600672).

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

6820964640 is a wasteful number, since it uses less digits than its factorization.

6820964640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6820964640 is about 82589.1314883502. The cubic root of 6820964640 is about 1896.4814512006.

The spelling of 6820964640 in words is "six billion, eight hundred twenty million, nine hundred sixty-four thousand, six hundred forty".