6940836864 has 440 divisors, whose sum is σ = 23011113048. Its totient is φ = 2070282240.

The previous prime is 6940836839. The next prime is 6940836899. The reversal of 6940836864 is 4686380496.

It can be written as a sum of positive squares in 4 ways, for example, as 250905600 + 6689931264 = 15840^2 + 81792^2 .

It is a super-2 number, since 2×6940836864² = 96350432745322708992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6940836864.

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 39 ways as a sum of consecutive naturals, for example, 44209074 + ... + 44209230.

Almost surely, 2^6940836864 is an apocalyptic number.

6940836864 is a gapful number since it is divisible by the number (64) 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 6940836864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11505556524).

6940836864 is an abundant number, since it is smaller than the sum of its proper divisors (16070276184).

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

6940836864 is a wasteful number, since it uses less digits than its factorization.

6940836864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 6940836864 is about 83311.6850387747. The cubic root of 6940836864 is about 1907.5266418000.

The spelling of 6940836864 in words is "six billion, nine hundred forty million, eight hundred thirty-six thousand, eight hundred sixty-four".