747648000000 has 1176 divisors, whose sum is σ = 2994978851280. Its totient is φ = 178176000000.

The previous prime is 747647999999. The next prime is 747648000017. The reversal of 747648000000 is 846747.

It is a happy number.

747648000000 is a `hidden beast` number, since 7 + 4 + 7 + 648 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12671999971 + ... + 12672000029.

Almost surely, 2^747648000000 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 747648000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497489425640).

747648000000 is an abundant number, since it is smaller than the sum of its proper divisors (2247330851280).

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

747648000000 is an frugal number, since it uses more digits than its factorization.

747648000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 747648000000 its reverse (846747), we get a palindrome (747648846747).

The spelling of 747648000000 in words is "seven hundred forty-seven billion, six hundred forty-eight million", and thus it is an aban number.