8970151680 has 432 divisors, whose sum is σ = 37035563040. Its totient is φ = 2049933312.

The previous prime is 8970151633. The next prime is 8970151681. The reversal of 8970151680 is 861510798.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8970151681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1690792 + ... + 1696088.

It is an arithmetic number, because the mean of its divisors is an integer number (85730470).

Almost surely, 2^8970151680 is an apocalyptic number.

8970151680 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 8970151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18517781520).

8970151680 is an abundant number, since it is smaller than the sum of its proper divisors (28065411360).

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

8970151680 is a wasteful number, since it uses less digits than its factorization.

8970151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341 (or 5314 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 8970151680 is about 94710.8846965332. The cubic root of 8970151680 is about 2077.7817574559.

The spelling of 8970151680 in words is "eight billion, nine hundred seventy million, one hundred fifty-one thousand, six hundred eighty".