9487860480 has 720 divisors, whose sum is σ = 41134927680. Its totient is φ = 2038431744.

The previous prime is 9487860469. The next prime is 9487860523. The reversal of 9487860480 is 840687849.

9487860480 is a `hidden beast` number, since 9 + 4 + 87 + 86 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 12337536 + ... + 12338304.

It is an arithmetic number, because the mean of its divisors is an integer number (57131844).

Almost surely, 2^9487860480 is an apocalyptic number.

9487860480 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 9487860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20567463840).

9487860480 is an abundant number, since it is smaller than the sum of its proper divisors (31647067200).

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

9487860480 is a wasteful number, since it uses less digits than its factorization.

9487860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 9487860480 is about 97405.6491174922. The cubic root of 9487860480 is about 2117.0092871573.

The spelling of 9487860480 in words is "nine billion, four hundred eighty-seven million, eight hundred sixty thousand, four hundred eighty".