746640000 has 480 divisors, whose sum is σ = 2889340740. Its totient is φ = 184320000.

The previous prime is 746639977. The next prime is 746640049. The reversal of 746640000 is 46647.

It can be written as a sum of positive squares in 10 ways, for example, as 134374464 + 612265536 = 11592^2 + 24744^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12239970 + ... + 12240030.

Almost surely, 2^746640000 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 746640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444670370).

746640000 is an abundant number, since it is smaller than the sum of its proper divisors (2142700740).

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

746640000 is a wasteful number, since it uses less digits than its factorization.

746640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 746640000 is about 27324.7140881657. The cubic root of 746640000 is about 907.2014818523.

Adding to 746640000 its reverse (46647), we get a palindrome (746686647).

The spelling of 746640000 in words is "seven hundred forty-six million, six hundred forty thousand".