9970826544 has 360 divisors, whose sum is σ = 33960326400. Its totient is φ = 2823714432.

The previous prime is 9970826521. The next prime is 9970826561. The reversal of 9970826544 is 4456280799.

9970826544 is a `hidden beast` number, since 9 + 9 + 70 + 8 + 26 + 544 = 666.

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 71 ways as a sum of consecutive naturals, for example, 37911757 + ... + 37912019.

It is an arithmetic number, because the mean of its divisors is an integer number (94334240).

Almost surely, 2^9970826544 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 9970826544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16980163200).

9970826544 is an abundant number, since it is smaller than the sum of its proper divisors (23989499856).

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

9970826544 is a wasteful number, since it uses less digits than its factorization.

9970826544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 9970826544 is about 99854.0261782168. The cubic root of 9970826544 is about 2152.3375725145.

The spelling of 9970826544 in words is "nine billion, nine hundred seventy million, eight hundred twenty-six thousand, five hundred forty-four".