7953506795520 has 2304 divisors, whose sum is σ = 34112659875840. Its totient is φ = 1765791498240.

The previous prime is 7953506795503. The next prime is 7953506795569. The reversal of 7953506795520 is 255976053597.

It is a happy number.

7953506795520 is a `hidden beast` number, since 7 + 9 + 5 + 3 + 5 + 0 + 6 + 79 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62626037697 + ... + 62626037823.

It is an arithmetic number, because the mean of its divisors is an integer number (14805841960).

Almost surely, 2^{7953506795520} 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 7953506795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17056329937920).

7953506795520 is an abundant number, since it is smaller than the sum of its proper divisors (26159153080320).

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

7953506795520 is a wasteful number, since it uses less digits than its factorization.

7953506795520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 89302500, while the sum is 63.

The spelling of 7953506795520 in words is "seven trillion, nine hundred fifty-three billion, five hundred six million, seven hundred ninety-five thousand, five hundred twenty".