746830891008 has 288 divisors, whose sum is σ = 2224304802720. Its totient is φ = 241264558080.

The previous prime is 746830891003. The next prime is 746830891013. The reversal of 746830891008 is 800198038647.

It is an interprime number because it is at equal distance from previous prime (746830891003) and next prime (746830891013).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (746830891003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103823860 + ... + 103831052.

It is an arithmetic number, because the mean of its divisors is an integer number (7723280565).

Almost surely, 2^746830891008 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 746830891008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112152401360).

746830891008 is an abundant number, since it is smaller than the sum of its proper divisors (1477473911712).

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

746830891008 is a wasteful number, since it uses less digits than its factorization.

746830891008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7395 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 746830891008 in words is "seven hundred forty-six billion, eight hundred thirty million, eight hundred ninety-one thousand, eight".