7289253840960 has 1120 divisors, whose sum is σ = 32047727534592. Its totient is φ = 1531451473920.

The previous prime is 7289253840899. The next prime is 7289253840961. The reversal of 7289253840960 is 690483529827.

7289253840960 is a `hidden beast` number, since 7 + 2 + 8 + 9 + 2 + 538 + 4 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×7289253840960² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (7289253840961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 568445109 + ... + 568457931.

Almost surely, 2^{7289253840960} is an apocalyptic number.

7289253840960 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 7289253840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16023863767296).

7289253840960 is an abundant number, since it is smaller than the sum of its proper divisors (24758473693632).

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

7289253840960 is a wasteful number, since it uses less digits than its factorization.

7289253840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13113 (or 13094 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 7289253840960 in words is "seven trillion, two hundred eighty-nine billion, two hundred fifty-three million, eight hundred forty thousand, nine hundred sixty".