7867936073088 has 960 divisors, whose sum is σ = 29210563768320. Its totient is φ = 2058313420800.

The previous prime is 7867936073083. The next prime is 7867936073117. The reversal of 7867936073088 is 8803706397687.

7867936073088 is a `hidden beast` number, since 7 + 8 + 6 + 7 + 9 + 3 + 607 + 3 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7867936073083) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1557696163 + ... + 1557701213.

It is an arithmetic number, because the mean of its divisors is an integer number (30427670592).

Almost surely, 2^{7867936073088} is an apocalyptic number.

7867936073088 is a gapful number since it is divisible by the number (78) 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 7867936073088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605281884160).

7867936073088 is an abundant number, since it is smaller than the sum of its proper divisors (21342627695232).

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

7867936073088 is a wasteful number, since it uses less digits than its factorization.

7867936073088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5237 (or 5203 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 7867936073088 in words is "seven trillion, eight hundred sixty-seven billion, nine hundred thirty-six million, seventy-three thousand, eighty-eight".