7584012121680 has 400 divisors, whose sum is σ = 27798186873600. Its totient is φ = 1911023539200.

The previous prime is 7584012121669. The next prime is 7584012121781. The reversal of 7584012121680 is 861212104857.

7584012121680 is a `hidden beast` number, since 7 + 5 + 8 + 401 + 21 + 216 + 8 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 47814505 + ... + 47972855.

It is an arithmetic number, because the mean of its divisors is an integer number (69495467184).

Almost surely, 2^{7584012121680} 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 7584012121680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13899093436800).

7584012121680 is an abundant number, since it is smaller than the sum of its proper divisors (20214174751920).

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

7584012121680 is a wasteful number, since it uses less digits than its factorization.

7584012121680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158784 (or 158769 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 7584012121680 in words is "seven trillion, five hundred eighty-four billion, twelve million, one hundred twenty-one thousand, six hundred eighty".