746045217792 has 1056 divisors, whose sum is σ = 2637171388800. Its totient is φ = 202887659520.

The previous prime is 746045217779. The next prime is 746045217847. The reversal of 746045217792 is 297712540647.

746045217792 is a `hidden beast` number, since 7 + 4 + 604 + 5 + 21 + 7 + 7 + 9 + 2 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 10219797468 + ... + 10219797540.

Almost surely, 2^746045217792 is an apocalyptic number.

746045217792 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 746045217792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318585694400).

746045217792 is an abundant number, since it is smaller than the sum of its proper divisors (1891126171008).

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

746045217792 is a wasteful number, since it uses less digits than its factorization.

746045217792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 746045217792 in words is "seven hundred forty-six billion, forty-five million, two hundred seventeen thousand, seven hundred ninety-two".