91830664800 has 648 divisors, whose sum is σ = 393098496336. Its totient is φ = 20075489280.

The previous prime is 91830664799. The next prime is 91830664829. The reversal of 91830664800 is 846603819.

91830664800 is a `hidden beast` number, since 91 + 83 + 0 + 6 + 6 + 480 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8108742 + ... + 8120058.

It is an arithmetic number, because the mean of its divisors is an integer number (606633482).

Almost surely, 2^91830664800 is an apocalyptic number.

91830664800 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 91830664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196549248168).

91830664800 is an abundant number, since it is smaller than the sum of its proper divisors (301267831536).

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

91830664800 is a wasteful number, since it uses less digits than its factorization.

91830664800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11380 (or 11357 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 91830664800 in words is "ninety-one billion, eight hundred thirty million, six hundred sixty-four thousand, eight hundred".