7264145064960 has 2112 divisors, whose sum is σ = 31760464379904. Its totient is φ = 1496973312000.

The previous prime is 7264145064937. The next prime is 7264145064973. The reversal of 7264145064960 is 694605414627.

7264145064960 is a `hidden beast` number, since 7 + 2 + 6 + 4 + 145 + 0 + 6 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7264145064897 and 7264145064906.

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, 25668356979 + ... + 25668357261.

Almost surely, 2^{7264145064960} is an apocalyptic number.

7264145064960 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 7264145064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15880232189952).

7264145064960 is an abundant number, since it is smaller than the sum of its proper divisors (24496319314944).

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

7264145064960 is a wasteful number, since it uses less digits than its factorization.

7264145064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 7264145064960 in words is "seven trillion, two hundred sixty-four billion, one hundred forty-five million, sixty-four thousand, nine hundred sixty".