746642033280 has 2688 divisors, whose sum is σ = 3425278026240. Its totient is φ = 153180979200.

The previous prime is 746642033239. The next prime is 746642033287. The reversal of 746642033280 is 82330246647.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (746642033287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 24085226865 + ... + 24085226895.

It is an arithmetic number, because the mean of its divisors is an integer number (1274284980).

Almost surely, 2^746642033280 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 746642033280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712639013120).

746642033280 is an abundant number, since it is smaller than the sum of its proper divisors (2678635992960).

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

746642033280 is a wasteful number, since it uses less digits than its factorization.

746642033280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 746642033280 in words is "seven hundred forty-six billion, six hundred forty-two million, thirty-three thousand, two hundred eighty".