9116673437520 has 1280 divisors, whose sum is σ = 36681172254720. Its totient is φ = 2086083072000.

The previous prime is 9116673437519. The next prime is 9116673437527. The reversal of 9116673437520 is 257343766119.

9116673437520 is a `hidden beast` number, since 9 + 1 + 1 + 6 + 6 + 73 + 43 + 7 + 520 = 666.

It is a super-2 number, since 2×9116673437520² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9116673437527) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2446113897 + ... + 2446117623.

It is an arithmetic number, because the mean of its divisors is an integer number (28657165824).

Almost surely, 2^{9116673437520} is an apocalyptic number.

9116673437520 is a gapful number since it is divisible by the number (90) 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 9116673437520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18340586127360).

9116673437520 is an abundant number, since it is smaller than the sum of its proper divisors (27564498817200).

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

9116673437520 is a wasteful number, since it uses less digits than its factorization.

9116673437520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 9116673437520 in words is "nine trillion, one hundred sixteen billion, six hundred seventy-three million, four hundred thirty-seven thousand, five hundred twenty".