9672036480 has 192 divisors, whose sum is σ = 33802816320. Its totient is φ = 2548008960.

The previous prime is 9672036433. The next prime is 9672036509. The reversal of 9672036480 is 846302769.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467965 + ... + 488195.

It is an arithmetic number, because the mean of its divisors is an integer number (176056335).

Almost surely, 2^9672036480 is an apocalyptic number.

9672036480 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 9672036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16901408160).

9672036480 is an abundant number, since it is smaller than the sum of its proper divisors (24130779840).

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

9672036480 is a wasteful number, since it uses less digits than its factorization.

9672036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20339 (or 20324 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 9672036480 is about 98346.5122919974. The cubic root of 9672036480 is about 2130.6198817388.

The spelling of 9672036480 in words is "nine billion, six hundred seventy-two million, thirty-six thousand, four hundred eighty".