9644728320000 has 2380 divisors, whose sum is σ = 40279151139480. Its totient is φ = 2293235712000.

The previous prime is 9644728319939. The next prime is 9644728320023. The reversal of 9644728320000 is 238274469.

It is a super-2 number, since 2×9644728320000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 507617279991 + ... + 507617280009.

Almost surely, 2^{9644728320000} is an apocalyptic number.

9644728320000 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 9644728320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20139575569740).

9644728320000 is an abundant number, since it is smaller than the sum of its proper divisors (30634422819480).

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

9644728320000 is an frugal number, since it uses more digits than its factorization.

9644728320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 9644728320000 in words is "nine trillion, six hundred forty-four billion, seven hundred twenty-eight million, three hundred twenty thousand".