747728142336 has 864 divisors, whose sum is σ = 2680049369088. Its totient is φ = 196199055360.

The previous prime is 747728142323. The next prime is 747728142347. The reversal of 747728142336 is 633241827747.

747728142336 is a `hidden beast` number, since 7 + 47 + 72 + 81 + 423 + 36 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5887623105 + ... + 5887623231.

It is an arithmetic number, because the mean of its divisors is an integer number (3101908992).

Almost surely, 2^747728142336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 747728142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340024684544).

747728142336 is an abundant number, since it is smaller than the sum of its proper divisors (1932321226752).

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

747728142336 is a wasteful number, since it uses less digits than its factorization.

747728142336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 193 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The spelling of 747728142336 in words is "seven hundred forty-seven billion, seven hundred twenty-eight million, one hundred forty-two thousand, three hundred thirty-six".