9100746673200 has 2880 divisors, whose sum is σ = 44174032680960. Its totient is φ = 1744053534720.

The previous prime is 9100746673189. The next prime is 9100746673223. The reversal of 9100746673200 is 23766470019.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4360682557 + ... + 4360684643.

It is an arithmetic number, because the mean of its divisors is an integer number (15338205792).

Almost surely, 2^{9100746673200} is an apocalyptic number.

9100746673200 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 9100746673200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22087016340480).

9100746673200 is an abundant number, since it is smaller than the sum of its proper divisors (35073286007760).

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

9100746673200 is a wasteful number, since it uses less digits than its factorization.

9100746673200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 9100746673200 in words is "nine trillion, one hundred billion, seven hundred forty-six million, six hundred seventy-three thousand, two hundred".