8136693734400 has 4752 divisors, whose sum is σ = 41368928052480. Its totient is φ = 1522099814400.

The previous prime is 8136693734333. The next prime is 8136693734431. The reversal of 8136693734400 is 44373966318.

It is a happy number.

8136693734400 is a `hidden beast` number, since 8 + 136 + 69 + 3 + 7 + 3 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4752).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 353769292789 + ... + 353769292811.

Almost surely, 2^{8136693734400} is an apocalyptic number.

8136693734400 is a gapful number since it is divisible by the number (80) 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 8136693734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684464026240).

8136693734400 is an abundant number, since it is smaller than the sum of its proper divisors (33232234318080).

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

8136693734400 is a wasteful number, since it uses less digits than its factorization.

8136693734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 8136693734400 in words is "eight trillion, one hundred thirty-six billion, six hundred ninety-three million, seven hundred thirty-four thousand, four hundred".