7744423104 has 336 divisors, whose sum is σ = 26608308480. Its totient is φ = 2125854720.

The previous prime is 7744423087. The next prime is 7744423147. The reversal of 7744423104 is 4013244477.

It is a happy number.

It is a super-3 number, since 3×7744423104³ (a number of 31 digits) contains 333 as substring.

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

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, 2767434 + ... + 2770230.

Almost surely, 2^7744423104 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 7744423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13304154240).

7744423104 is an abundant number, since it is smaller than the sum of its proper divisors (18863885376).

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

7744423104 is a wasteful number, since it uses less digits than its factorization.

7744423104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 7744423104 is about 88002.4039671644. The cubic root of 7744423104 is about 1978.4710081409.

The spelling of 7744423104 in words is "seven billion, seven hundred forty-four million, four hundred twenty-three thousand, one hundred four".