9153471640320 has 4320 divisors, whose sum is σ = 43421388595200. Its totient is φ = 1834767728640.

The previous prime is 9153471640307. The next prime is 9153471640321. The reversal of 9153471640320 is 230461743519.

9153471640320 is a `hidden beast` number, since 9 + 1 + 534 + 71 + 6 + 40 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×9153471640320² (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 not an unprimeable number, because it can be changed into a prime (9153471640321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 295273278705 + ... + 295273278735.

It is an arithmetic number, because the mean of its divisors is an integer number (10051247360).

Almost surely, 2^{9153471640320} is an apocalyptic number.

9153471640320 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 9153471640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21710694297600).

9153471640320 is an abundant number, since it is smaller than the sum of its proper divisors (34267916954880).

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

9153471640320 is a wasteful number, since it uses less digits than its factorization.

9153471640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 9153471640320 in words is "nine trillion, one hundred fifty-three billion, four hundred seventy-one million, six hundred forty thousand, three hundred twenty".