744561720 has 384 divisors, whose sum is σ = 2968842240. Its totient is φ = 164229120.

The previous prime is 744561703. The next prime is 744561737. The reversal of 744561720 is 27165447.

744561720 is a `hidden beast` number, since 74 + 4 + 561 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (744561703) and next prime (744561737).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2109064 + ... + 2109416.

It is an arithmetic number, because the mean of its divisors is an integer number (7731360).

Almost surely, 2^744561720 is an apocalyptic number.

744561720 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 744561720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484421120).

744561720 is an abundant number, since it is smaller than the sum of its proper divisors (2224280520).

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

744561720 is a wasteful number, since it uses less digits than its factorization.

744561720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 744561720 is about 27286.6582783601. The cubic root of 744561720 is about 906.3589648130.

It can be divided in two parts, 74456 and 1720, that added together give a square (76176 = 276²).

The spelling of 744561720 in words is "seven hundred forty-four million, five hundred sixty-one thousand, seven hundred twenty".