7385984040960 has 1280 divisors, whose sum is σ = 30983060592000. Its totient is φ = 1648963878912.

The previous prime is 7385984040947. The next prime is 7385984040997. The reversal of 7385984040960 is 690404895837.

7385984040960 is a `hidden beast` number, since 7 + 3 + 85 + 98 + 4 + 0 + 409 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 171767070699 + ... + 171767070741.

Almost surely, 2^{7385984040960} is an apocalyptic number.

7385984040960 is a gapful number since it is divisible by the number (70) 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 7385984040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15491530296000).

7385984040960 is an abundant number, since it is smaller than the sum of its proper divisors (23597076551040).

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

7385984040960 is an frugal number, since it uses more digits than its factorization.

7385984040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 7385984040960 in words is "seven trillion, three hundred eighty-five billion, nine hundred eighty-four million, forty thousand, nine hundred sixty".