9537972480 has 288 divisors, whose sum is σ = 34765987200. Its totient is φ = 2474385408.

The previous prime is 9537972467. The next prime is 9537972481. The reversal of 9537972480 is 842797359.

9537972480 is a `hidden beast` number, since 9 + 537 + 9 + 7 + 24 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9537972481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1274991 + ... + 1282449.

Almost surely, 2^9537972480 is an apocalyptic number.

9537972480 is a gapful number since it is divisible by the number (90) 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 9537972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17382993600).

9537972480 is an abundant number, since it is smaller than the sum of its proper divisors (25228014720).

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

9537972480 is a wasteful number, since it uses less digits than its factorization.

9537972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7526 (or 7506 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 9537972480 is about 97662.5438947809. The cubic root of 9537972480 is about 2120.7298780334.

The spelling of 9537972480 in words is "nine billion, five hundred thirty-seven million, nine hundred seventy-two thousand, four hundred eighty".