6956034048 has 144 divisors (see below), whose sum is σ = 20283812640. Its totient is φ = 2296356864.

The previous prime is 6956034031. The next prime is 6956034053. The reversal of 6956034048 is 8404306596.

6956034048 is a `hidden beast` number, since 6 + 9 + 560 + 3 + 40 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 6956033994 and 6956034012.

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 11 ways as a sum of consecutive naturals, for example, 1970461 + ... + 1973987.

It is an arithmetic number, because the mean of its divisors is an integer number (140859810).

Almost surely, 2^6956034048 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 6956034048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10141906320).

6956034048 is an abundant number, since it is smaller than the sum of its proper divisors (13327778592).

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

6956034048 is a wasteful number, since it uses less digits than its factorization.

6956034048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6956034048 is about 83402.8419659666. The cubic root of 6956034048 is about 1908.9178237835.

The spelling of 6956034048 in words is "six billion, nine hundred fifty-six million, thirty-four thousand, forty-eight".