7007553012096 has 1024 divisors, whose sum is σ = 26854990848000. Its totient is φ = 1746926051328.

The previous prime is 7007553012049. The next prime is 7007553012149. The reversal of 7007553012096 is 6902103557007.

7007553012096 is a `hidden beast` number, since 7 + 0 + 0 + 7 + 5 + 530 + 1 + 20 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3364162671 + ... + 3364164753.

It is an arithmetic number, because the mean of its divisors is an integer number (26225577000).

Almost surely, 2^{7007553012096} is an apocalyptic number.

7007553012096 is a gapful number since it is divisible by the number (76) 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 7007553012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13427495424000).

7007553012096 is an abundant number, since it is smaller than the sum of its proper divisors (19847437835904).

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

7007553012096 is a wasteful number, since it uses less digits than its factorization.

7007553012096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 7007553012096 in words is "seven trillion, seven billion, five hundred fifty-three million, twelve thousand, ninety-six".