8970577920 has 576 divisors, whose sum is σ = 33729696000. Its totient is φ = 2197684224.

The previous prime is 8970577907. The next prime is 8970577949. The reversal of 8970577920 is 297750798.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82298826 + ... + 82298934.

It is an arithmetic number, because the mean of its divisors is an integer number (58558500).

Almost surely, 2^8970577920 is an apocalyptic number.

8970577920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8970577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16864848000).

8970577920 is an abundant number, since it is smaller than the sum of its proper divisors (24759118080).

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

8970577920 is a wasteful number, since it uses less digits than its factorization.

8970577920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The square root of 8970577920 is about 94713.1348863504. The cubic root of 8970577920 is about 2077.8146673293.

The spelling of 8970577920 in words is "eight billion, nine hundred seventy million, five hundred seventy-seven thousand, nine hundred twenty".