91627080007680 has 1440 divisors, whose sum is σ = 387795840727680. Its totient is φ = 20455237877760.

The previous prime is 91627080007591. The next prime is 91627080007867. The reversal of 91627080007680 is 8670008072619.

91627080007680 is a `hidden beast` number, since 9 + 1 + 627 + 0 + 8 + 0 + 0 + 0 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4660337050 + ... + 4660356710.

It is an arithmetic number, because the mean of its divisors is an integer number (269302667172).

Almost surely, 2^{91627080007680} is an apocalyptic number.

91627080007680 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 91627080007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193897920363840).

91627080007680 is an abundant number, since it is smaller than the sum of its proper divisors (296168760720000).

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

91627080007680 is a wasteful number, since it uses less digits than its factorization.

91627080007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19760 (or 19721 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 91627080007680 in words is "ninety-one trillion, six hundred twenty-seven billion, eighty million, seven thousand, six hundred eighty".