6960890722500 has 2025 divisors, whose sum is σ = 27741021718179. Its totient is φ = 1519689600000.

The previous prime is 6960890722477. The next prime is 6960890722517. The reversal of 6960890722500 is 52270980696.

The square root of 6960890722500 is 2638350.

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

6960890722500 is a `hidden beast` number, since 6 + 9 + 60 + 8 + 9 + 0 + 72 + 2 + 500 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 740814818436 + 6220075904064 = 860706^2 + 2494008^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

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

It is an unprimeable number.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 169777822480 + ... + 169777822520.

Almost surely, 2^{6960890722500} is an apocalyptic number.

6960890722500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6960890722500 is the 2638350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6960890722500

6960890722500 is an abundant number, since it is smaller than the sum of its proper divisors (20780130995679).

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

6960890722500 is a wasteful number, since it uses less digits than its factorization.

6960890722500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 6960890722500 in words is "six trillion, nine hundred sixty billion, eight hundred ninety million, seven hundred twenty-two thousand, five hundred".