7421185474560 has 2520 divisors, whose sum is σ = 32009416474560. Its totient is φ = 1639663534080.

The previous prime is 7421185474543. The next prime is 7421185474579. The reversal of 7421185474560 is 654745811247.

It is a happy number.

7421185474560 is a `hidden beast` number, since 7 + 4 + 2 + 1 + 1 + 8 + 5 + 4 + 74 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7421185474497 and 7421185474506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 93939056601 + ... + 93939056679.

Almost surely, 2^{7421185474560} 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 7421185474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16004708237280).

7421185474560 is an abundant number, since it is smaller than the sum of its proper divisors (24588231000000).

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

7421185474560 is an equidigital number, since it uses as much as digits as its factorization.

7421185474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 7421185474560 in words is "seven trillion, four hundred twenty-one billion, one hundred eighty-five million, four hundred seventy-four thousand, five hundred sixty".