743564640 has 384 divisors, whose sum is σ = 2987228160. Its totient is φ = 151216128.

The previous prime is 743564609. The next prime is 743564663. The reversal of 743564640 is 46465347.

It is a happy number.

It is a super-3 number, since 3×743564640³ (a number of 28 digits) contains 333 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 1266427 + ... + 1267013.

It is an arithmetic number, because the mean of its divisors is an integer number (7779240).

Almost surely, 2^743564640 is an apocalyptic number.

743564640 is a gapful number since it is divisible by the number (70) 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 743564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493614080).

743564640 is an abundant number, since it is smaller than the sum of its proper divisors (2243663520).

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

743564640 is a wasteful number, since it uses less digits than its factorization.

743564640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 743564640 is about 27268.3816901554. The cubic root of 743564640 is about 905.9542004732.

The spelling of 743564640 in words is "seven hundred forty-three million, five hundred sixty-four thousand, six hundred forty".