6090073234560 has 1728 divisors, whose sum is σ = 26037832242240. Its totient is φ = 1284513914880.

The previous prime is 6090073234543. The next prime is 6090073234603. The reversal of 6090073234560 is 654323700906.

6090073234560 is a `hidden beast` number, since 60 + 9 + 0 + 0 + 7 + 3 + 23 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 73374376279 + ... + 73374376361.

It is an arithmetic number, because the mean of its divisors is an integer number (15068189955).

Almost surely, 2^{6090073234560} is an apocalyptic number.

6090073234560 is a gapful number since it is divisible by the number (60) 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 6090073234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13018916121120).

6090073234560 is an abundant number, since it is smaller than the sum of its proper divisors (19947759007680).

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

6090073234560 is a wasteful number, since it uses less digits than its factorization.

6090073234560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 6090073234560 in words is "six trillion, ninety billion, seventy-three million, two hundred thirty-four thousand, five hundred sixty".