746511168 has 112 divisors (see below), whose sum is σ = 2162389376. Its totient is φ = 225884160.

The previous prime is 746511137. The next prime is 746511169. The reversal of 746511168 is 861115647.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746511169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149805 + ... + 154707.

It is an arithmetic number, because the mean of its divisors is an integer number (19307048).

Almost surely, 2^746511168 is an apocalyptic number.

746511168 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 746511168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081194688).

746511168 is an abundant number, since it is smaller than the sum of its proper divisors (1415878208).

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

746511168 is a wasteful number, since it uses less digits than its factorization.

746511168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992 (or 4982 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 746511168 is about 27322.3565601505. The cubic root of 746511168 is about 907.1492999421.

The spelling of 746511168 in words is "seven hundred forty-six million, five hundred eleven thousand, one hundred sixty-eight".