9864040032 has 360 divisors, whose sum is σ = 36450258768. Its totient is φ = 2561518080.

The previous prime is 9864040031. The next prime is 9864040091. The reversal of 9864040032 is 2300404689.

It is a happy number.

9864040032 is a `hidden beast` number, since 9 + 8 + 640 + 4 + 0 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×9864040032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9864040031) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2193178 + ... + 2197670.

Almost surely, 2^9864040032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9864040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18225129384).

9864040032 is an abundant number, since it is smaller than the sum of its proper divisors (26586218736).

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

9864040032 is a wasteful number, since it uses less digits than its factorization.

9864040032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 9864040032 is about 99317.8736784069. The cubic root of 9864040032 is about 2144.6262070551.

The spelling of 9864040032 in words is "nine billion, eight hundred sixty-four million, forty thousand, thirty-two".