741091680 has 432 divisors, whose sum is σ = 3058670160. Its totient is φ = 168956928.

The previous prime is 741091661. The next prime is 741091711. The reversal of 741091680 is 86190147.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1904926 + ... + 1905314.

It is an arithmetic number, because the mean of its divisors is an integer number (7080255).

Almost surely, 2^741091680 is an apocalyptic number.

741091680 is a gapful number since it is divisible by the number (70) 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 741091680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529335080).

741091680 is an abundant number, since it is smaller than the sum of its proper divisors (2317578480).

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

741091680 is a wasteful number, since it uses less digits than its factorization.

741091680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 741091680 is about 27222.9991000257. Note that the first 3 decimals coincide. The cubic root of 741091680 is about 904.9487389949.

The spelling of 741091680 in words is "seven hundred forty-one million, ninety-one thousand, six hundred eighty".