744986930688 has 960 divisors, whose sum is σ = 3014109584640. Its totient is φ = 178595020800.

The previous prime is 744986930669. The next prime is 744986930689. The reversal of 744986930688 is 886039689447.

744986930688 is a `hidden beast` number, since 74 + 498 + 6 + 9 + 3 + 0 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744986930689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96860923 + ... + 96868613.

It is an arithmetic number, because the mean of its divisors is an integer number (3139697484).

Almost surely, 2^744986930688 is an apocalyptic number.

744986930688 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 744986930688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507054792320).

744986930688 is an abundant number, since it is smaller than the sum of its proper divisors (2269122653952).

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

744986930688 is a wasteful number, since it uses less digits than its factorization.

744986930688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7756 (or 7727 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 744986930688 in words is "seven hundred forty-four billion, nine hundred eighty-six million, nine hundred thirty thousand, six hundred eighty-eight".