8961970752 has 168 divisors, whose sum is σ = 29633363136. Its totient is φ = 2536510464.

The previous prime is 8961970739. The next prime is 8961970753. The reversal of 8961970752 is 2570791698.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (8961970753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421038 + ... + 441810.

Almost surely, 2^8961970752 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 8961970752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14816681568).

8961970752 is an abundant number, since it is smaller than the sum of its proper divisors (20671392384).

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

8961970752 is a wasteful number, since it uses less digits than its factorization.

8961970752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20905 (or 20892 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 8961970752 is about 94667.6858912269. The cubic root of 8961970752 is about 2077.1499081209.

The spelling of 8961970752 in words is "eight billion, nine hundred sixty-one million, nine hundred seventy thousand, seven hundred fifty-two".