740585244672 has 1536 divisors, whose sum is σ = 2888331264000. Its totient is φ = 184462147584.

The previous prime is 740585244667. The next prime is 740585244701. The reversal of 740585244672 is 276442585047.

740585244672 is a `hidden beast` number, since 7 + 4 + 0 + 5 + 8 + 524 + 46 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×740585244672² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 9374496729 + ... + 9374496807.

It is an arithmetic number, because the mean of its divisors is an integer number (1880424000).

Almost surely, 2^740585244672 is an apocalyptic number.

740585244672 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 740585244672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444165632000).

740585244672 is an abundant number, since it is smaller than the sum of its proper divisors (2147746019328).

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

740585244672 is an equidigital number, since it uses as much as digits as its factorization.

740585244672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 740585244672 in words is "seven hundred forty billion, five hundred eighty-five million, two hundred forty-four thousand, six hundred seventy-two".