746508672 has 192 divisors, whose sum is σ = 2644256160. Its totient is φ = 196853760.

The previous prime is 746508647. The next prime is 746508673. The reversal of 746508672 is 276805647.

746508672 is a `hidden beast` number, since 74 + 6 + 508 + 6 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746508673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101272 + ... + 108392.

Almost surely, 2^746508672 is an apocalyptic number.

746508672 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 746508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322128080).

746508672 is an abundant number, since it is smaller than the sum of its proper divisors (1897747488).

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

746508672 is a wasteful number, since it uses less digits than its factorization.

746508672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7161 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 746508672 is about 27322.3108832324. The cubic root of 746508672 is about 907.1482889069.

The spelling of 746508672 in words is "seven hundred forty-six million, five hundred eight thousand, six hundred seventy-two".