744872246496 has 288 divisors, whose sum is σ = 2445110635968. Its totient is φ = 210691031040.

The previous prime is 744872246479. The next prime is 744872246509. The reversal of 744872246496 is 694642278447.

744872246496 is a `hidden beast` number, since 7 + 4 + 4 + 87 + 2 + 2 + 464 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295465716 + ... + 295468236.

It is an arithmetic number, because the mean of its divisors is an integer number (8489967486).

Almost surely, 2^744872246496 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 744872246496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222555317984).

744872246496 is an abundant number, since it is smaller than the sum of its proper divisors (1700238389472).

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

744872246496 is a wasteful number, since it uses less digits than its factorization.

744872246496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3943 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 744872246496 in words is "seven hundred forty-four billion, eight hundred seventy-two million, two hundred forty-six thousand, four hundred ninety-six".