7493972065920 has 512 divisors, whose sum is σ = 26695804262400. Its totient is φ = 1986776432640.

The previous prime is 7493972065907. The next prime is 7493972066033. The reversal of 7493972065920 is 295602793947.

7493972065920 is a `hidden beast` number, since 7 + 4 + 9 + 39 + 7 + 2 + 0 + 6 + 592 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4110790129 + ... + 4110791951.

It is an arithmetic number, because the mean of its divisors is an integer number (52140242700).

Almost surely, 2^{7493972065920} 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 7493972065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13347902131200).

7493972065920 is an abundant number, since it is smaller than the sum of its proper divisors (19201832196480).

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

7493972065920 is a wasteful number, since it uses less digits than its factorization.

7493972065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 7493972065920 in words is "seven trillion, four hundred ninety-three billion, nine hundred seventy-two million, sixty-five thousand, nine hundred twenty".