9866292480 has 720 divisors, whose sum is σ = 39639112128. Its totient is φ = 2322432000.

The previous prime is 9866292389. The next prime is 9866292511. The reversal of 9866292480 is 842926689.

It is a happy number.

9866292480 is a `hidden beast` number, since 9 + 8 + 6 + 629 + 2 + 4 + 8 + 0 = 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46759575 + ... + 46759785.

Almost surely, 2^9866292480 is an apocalyptic number.

9866292480 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 9866292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19819556064).

9866292480 is an abundant number, since it is smaller than the sum of its proper divisors (29772819648).

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

9866292480 is a wasteful number, since it uses less digits than its factorization.

9866292480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 9866292480 is about 99329.2126214640. The cubic root of 9866292480 is about 2144.7894360278.

The spelling of 9866292480 in words is "nine billion, eight hundred sixty-six million, two hundred ninety-two thousand, four hundred eighty".