741261371760 has 1120 divisors, whose sum is σ = 3200918878080. Its totient is φ = 155384635392.

The previous prime is 741261371759. The next prime is 741261371801. The reversal of 741261371760 is 67173162147.

741261371760 is a `hidden beast` number, since 7 + 4 + 12 + 613 + 7 + 17 + 6 + 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 223 ways as a sum of consecutive naturals, for example, 1045502286 + ... + 1045502994.

It is an arithmetic number, because the mean of its divisors is an integer number (2857963284).

Almost surely, 2^741261371760 is an apocalyptic number.

741261371760 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 741261371760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600459439040).

741261371760 is an abundant number, since it is smaller than the sum of its proper divisors (2459657506320).

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

741261371760 is a wasteful number, since it uses less digits than its factorization.

741261371760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 741261371760 in words is "seven hundred forty-one billion, two hundred sixty-one million, three hundred seventy-one thousand, seven hundred sixty".