746315064768 has 448 divisors, whose sum is σ = 2459013258240. Its totient is φ = 195678572544.

The previous prime is 746315064713. The next prime is 746315064787. The reversal of 746315064768 is 867460513647.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 581694655 + ... + 581695937.

It is an arithmetic number, because the mean of its divisors is an integer number (5488868880).

Almost surely, 2^746315064768 is an apocalyptic number.

746315064768 is a gapful number since it is divisible by the number (78) 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 746315064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229506629120).

746315064768 is an abundant number, since it is smaller than the sum of its proper divisors (1712698193472).

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

746315064768 is a wasteful number, since it uses less digits than its factorization.

746315064768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 746315064768 in words is "seven hundred forty-six billion, three hundred fifteen million, sixty-four thousand, seven hundred sixty-eight".