7673485847040 has 2560 divisors, whose sum is σ = 32232336998400. Its totient is φ = 1714193694720.

The previous prime is 7673485846997. The next prime is 7673485847081. The reversal of 7673485847040 is 407485843767.

7673485847040 is a `hidden beast` number, since 7 + 6 + 7 + 3 + 4 + 8 + 584 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 58576227775 + ... + 58576227905.

It is an arithmetic number, because the mean of its divisors is an integer number (12590756640).

Almost surely, 2^{7673485847040} 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 7673485847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16116168499200).

7673485847040 is an abundant number, since it is smaller than the sum of its proper divisors (24558851151360).

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

7673485847040 is a wasteful number, since it uses less digits than its factorization.

7673485847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 7673485847040 in words is "seven trillion, six hundred seventy-three billion, four hundred eighty-five million, eight hundred forty-seven thousand, forty".