7464884520960 has 480 divisors, whose sum is σ = 27156011762880. Its totient is φ = 1960910290944.

The previous prime is 7464884520959. The next prime is 7464884520967. The reversal of 7464884520960 is 690254884647.

7464884520960 is a `hidden beast` number, since 7 + 4 + 6 + 48 + 8 + 4 + 520 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×7464884520960² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7464884520967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55505317 + ... + 55639643.

It is an arithmetic number, because the mean of its divisors is an integer number (56575024506).

Almost surely, 2^{7464884520960} 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 7464884520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13578005881440).

7464884520960 is an abundant number, since it is smaller than the sum of its proper divisors (19691127241920).

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

7464884520960 is a wasteful number, since it uses less digits than its factorization.

7464884520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134433 (or 134404 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 7464884520960 in words is "seven trillion, four hundred sixty-four billion, eight hundred eighty-four million, five hundred twenty thousand, nine hundred sixty".