747746832672 has 768 divisors, whose sum is σ = 2619331706880. Its totient is φ = 203103645696.

The previous prime is 747746832649. The next prime is 747746832769. The reversal of 747746832672 is 276238647747.

747746832672 is a `hidden beast` number, since 7 + 4 + 77 + 468 + 32 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

Its product of digits (132765696) is a multiple of the sum of its prime divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2358822658 + ... + 2358822974.

It is an arithmetic number, because the mean of its divisors is an integer number (3410588160).

Almost surely, 2^747746832672 is an apocalyptic number.

747746832672 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 747746832672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309665853440).

747746832672 is an abundant number, since it is smaller than the sum of its proper divisors (1871584874208).

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

747746832672 is a wasteful number, since it uses less digits than its factorization.

747746832672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 576 counting only the distinct ones).

The product of its digits is 132765696, while the sum is 63.

The spelling of 747746832672 in words is "seven hundred forty-seven billion, seven hundred forty-six million, eight hundred thirty-two thousand, six hundred seventy-two".