8977436160 has 1280 divisors, whose sum is σ = 40728821760. Its totient is φ = 1627914240.

The previous prime is 8977436131. The next prime is 8977436161. The reversal of 8977436160 is 616347798.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8977436161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 191009257 + ... + 191009303.

It is an arithmetic number, because the mean of its divisors is an integer number (31819392).

Almost surely, 2^8977436160 is an apocalyptic number.

8977436160 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 8977436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20364410880).

8977436160 is an abundant number, since it is smaller than the sum of its proper divisors (31751385600).

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

8977436160 is a wasteful number, since it uses less digits than its factorization.

8977436160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 8977436160 is about 94749.3332958074. Note that the first 3 decimals coincide. The cubic root of 8977436160 is about 2078.3440468853.

The spelling of 8977436160 in words is "eight billion, nine hundred seventy-seven million, four hundred thirty-six thousand, one hundred sixty".