747328534600032 has 1152 divisors, whose sum is σ = 2992737828003840. Its totient is φ = 176799581798400.

The previous prime is 747328534599991. The next prime is 747328534600033. The reversal of 747328534600032 is 230006435823747.

747328534600032 is a `hidden beast` number, since 7 + 4 + 7 + 3 + 28 + 5 + 3 + 4 + 600 + 0 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (747328534600033) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 384693928 + ... + 386631704.

It is an arithmetic number, because the mean of its divisors is an integer number (2597862697920).

Almost surely, 2^{747328534600032} is an apocalyptic number.

747328534600032 is a gapful number since it is divisible by the number (72) 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 747328534600032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496368914001920).

747328534600032 is an abundant number, since it is smaller than the sum of its proper divisors (2245409293403808).

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

747328534600032 is a wasteful number, since it uses less digits than its factorization.

747328534600032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937873 (or 1937848 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 747328534600032 in words is "seven hundred forty-seven trillion, three hundred twenty-eight billion, five hundred thirty-four million, six hundred thousand, thirty-two".