6961238989056 has 729 divisors, whose sum is σ = 23372587770987. Its totient is φ = 1990843176960.

The previous prime is 6961238989039. The next prime is 6961238989073. The reversal of 6961238989056 is 6509898321696.

The square root of 6961238989056 is 2638416.

It is a perfect power (a square), and thus also a powerful number.

6961238989056 is a `hidden beast` number, since 69 + 61 + 2 + 389 + 89 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (6961238989039) and next prime (6961238989073).

It is a super-2 number, since 2×6961238989056² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an alternating number because its digits alternate between even and odd.

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 80 ways as a sum of consecutive naturals, for example, 26468589181 + ... + 26468589443.

Almost surely, 2^{6961238989056} is an apocalyptic number.

6961238989056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6961238989056 is the 2638416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6961238989056

6961238989056 is an abundant number, since it is smaller than the sum of its proper divisors (16411348781931).

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

6961238989056 is a wasteful number, since it uses less digits than its factorization.

6961238989056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 6961238989056 in words is "six trillion, nine hundred sixty-one billion, two hundred thirty-eight million, nine hundred eighty-nine thousand, fifty-six".