746114688 has 192 divisors, whose sum is σ = 2370251520. Its totient is φ = 223395840.

The previous prime is 746114653. The next prime is 746114693. The reversal of 746114688 is 886411647.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1228881 + ... + 1229487.

It is an arithmetic number, because the mean of its divisors is an integer number (12345060).

Almost surely, 2^746114688 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 746114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185125760).

746114688 is an abundant number, since it is smaller than the sum of its proper divisors (1624136832).

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

746114688 is a wasteful number, since it uses less digits than its factorization.

746114688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 720 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 746114688 is about 27315.0999998170. The cubic root of 746114688 is about 906.9886726299.

The spelling of 746114688 in words is "seven hundred forty-six million, one hundred fourteen thousand, six hundred eighty-eight".