9487920960 has 672 divisors, whose sum is σ = 39597909120. Its totient is φ = 2131992576.

The previous prime is 9487920947. The next prime is 9487920961. The reversal of 9487920960 is 690297849.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 9487920897 and 9487920906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9487920961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30905127 + ... + 30905433.

It is an arithmetic number, because the mean of its divisors is an integer number (58925460).

Almost surely, 2^9487920960 is an apocalyptic number.

9487920960 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 9487920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19798954560).

9487920960 is an abundant number, since it is smaller than the sum of its proper divisors (30109988160).

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

9487920960 is a wasteful number, since it uses less digits than its factorization.

9487920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 9487920960 is about 97405.9595712706. The cubic root of 9487920960 is about 2117.0137854124.

The spelling of 9487920960 in words is "nine billion, four hundred eighty-seven million, nine hundred twenty thousand, nine hundred sixty".