7838916081600 has 504 divisors, whose sum is σ = 26555200243824. Its totient is φ = 2023004160000.

The previous prime is 7838916081593. The next prime is 7838916081617. The reversal of 7838916081600 is 61806198387.

It is a super-2 number, since 2×7838916081600² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13043121300 + ... + 13043121900.

Almost surely, 2^{7838916081600} 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 7838916081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13277600121912).

7838916081600 is an abundant number, since it is smaller than the sum of its proper divisors (18716284162224).

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

7838916081600 is a wasteful number, since it uses less digits than its factorization.

7838916081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 7838916081600 in words is "seven trillion, eight hundred thirty-eight billion, nine hundred sixteen million, eighty-one thousand, six hundred".