7264151064576 has 1248 divisors, whose sum is σ = 25897755985920. Its totient is φ = 1917399859200.

The previous prime is 7264151064551. The next prime is 7264151064637. The reversal of 7264151064576 is 6754601514627.

7264151064576 is a `hidden beast` number, since 7 + 2 + 6 + 4 + 1 + 5 + 1 + 0 + 64 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40133431206 + ... + 40133431386.

It is an arithmetic number, because the mean of its divisors is an integer number (20751407040).

Almost surely, 2^{7264151064576} 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 7264151064576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12948877992960).

7264151064576 is an abundant number, since it is smaller than the sum of its proper divisors (18633604921344).

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

7264151064576 is a wasteful number, since it uses less digits than its factorization.

7264151064576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 7264151064576 in words is "seven trillion, two hundred sixty-four billion, one hundred fifty-one million, sixty-four thousand, five hundred seventy-six".