743728366080 has 960 divisors, whose sum is σ = 3112184021760. Its totient is φ = 169932349440.

The previous prime is 743728366079. The next prime is 743728366097. The reversal of 743728366080 is 80663827347.

743728366080 is a `hidden beast` number, since 7 + 4 + 3 + 7 + 28 + 3 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 274335925 + ... + 274338635.

It is an arithmetic number, because the mean of its divisors is an integer number (3241858356).

Almost surely, 2^743728366080 is an apocalyptic number.

743728366080 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 743728366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556092010880).

743728366080 is an abundant number, since it is smaller than the sum of its proper divisors (2368455655680).

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

743728366080 is an frugal number, since it uses more digits than its factorization.

743728366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 743728366080 in words is "seven hundred forty-three billion, seven hundred twenty-eight million, three hundred sixty-six thousand, eighty".