8972772480 has 384 divisors, whose sum is σ = 35687433600. Its totient is φ = 2034892800.

The previous prime is 8972772437. The next prime is 8972772481. The reversal of 8972772480 is 842772798.

8972772480 is a `hidden beast` number, since 8 + 97 + 2 + 7 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (8972772481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5603680 + ... + 5605280.

It is an arithmetic number, because the mean of its divisors is an integer number (92936025).

Almost surely, 2^8972772480 is an apocalyptic number.

8972772480 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 8972772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17843716800).

8972772480 is an abundant number, since it is smaller than the sum of its proper divisors (26714661120).

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

8972772480 is a wasteful number, since it uses less digits than its factorization.

8972772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 8972772480 is about 94724.7194770193. The cubic root of 8972772480 is about 2077.9840922056.

The spelling of 8972772480 in words is "eight billion, nine hundred seventy-two million, seven hundred seventy-two thousand, four hundred eighty".