6961254048 has 576 divisors, whose sum is σ = 25360957440. Its totient is φ = 1834140672.

The previous prime is 6961253977. The next prime is 6961254089. The reversal of 6961254048 is 8404521696.

6961254048 is a `hidden beast` number, since 6 + 9 + 61 + 2 + 540 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6961253994 and 6961254012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54812961 + ... + 54813087.

It is an arithmetic number, because the mean of its divisors is an integer number (44029440).

Almost surely, 2^6961254048 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 6961254048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12680478720).

6961254048 is an abundant number, since it is smaller than the sum of its proper divisors (18399703392).

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

6961254048 is a wasteful number, since it uses less digits than its factorization.

6961254048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6961254048 is about 83434.1299948648. The cubic root of 6961254048 is about 1909.3952059360.

The spelling of 6961254048 in words is "six billion, nine hundred sixty-one million, two hundred fifty-four thousand, forty-eight".