746418816 has 384 divisors, whose sum is σ = 2646483840. Its totient is φ = 198696960.

The previous prime is 746418809. The next prime is 746418863. The reversal of 746418816 is 618814647.

746418816 is a `hidden beast` number, since 7 + 464 + 188 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3788830 + ... + 3789026.

It is an arithmetic number, because the mean of its divisors is an integer number (6891885).

Almost surely, 2^746418816 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 746418816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323241920).

746418816 is an abundant number, since it is smaller than the sum of its proper divisors (1900065024).

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

746418816 is a wasteful number, since it uses less digits than its factorization.

746418816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 249 counting only the distinct ones).

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

The square root of 746418816 is about 27320.6664633204. Note that the first 3 decimals coincide. The cubic root of 746418816 is about 907.1118901392. Note that the first 3 decimals are identical.

The spelling of 746418816 in words is "seven hundred forty-six million, four hundred eighteen thousand, eight hundred sixteen".