7230284328960 has 2496 divisors, whose sum is σ = 34562486730240. Its totient is φ = 1413029560320.

The previous prime is 7230284328941. The next prime is 7230284328973. The reversal of 7230284328960 is 698234820327.

7230284328960 is a `hidden beast` number, since 7 + 2 + 30 + 284 + 328 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×7230284328960² (a number of 27 digits) contains 22 as substring.

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 = 7230284328897 and 7230284328906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5066771767 + ... + 5066773193.

Almost surely, 2^{7230284328960} is an apocalyptic number.

7230284328960 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 7230284328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17281243365120).

7230284328960 is an abundant number, since it is smaller than the sum of its proper divisors (27332202401280).

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

7230284328960 is a wasteful number, since it uses less digits than its factorization.

7230284328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 7230284328960 in words is "seven trillion, two hundred thirty billion, two hundred eighty-four million, three hundred twenty-eight thousand, nine hundred sixty".