7418936448 has 320 divisors, whose sum is σ = 27529571520. Its totient is φ = 1926789120.

The previous prime is 7418936443. The next prime is 7418936507. The reversal of 7418936448 is 8446398147.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 7418936394 and 7418936403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7418936443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 793690 + ... + 802982.

It is an arithmetic number, because the mean of its divisors is an integer number (86029911).

Almost surely, 2^7418936448 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 7418936448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13764785760).

7418936448 is an abundant number, since it is smaller than the sum of its proper divisors (20110635072).

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

7418936448 is a wasteful number, since it uses less digits than its factorization.

7418936448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9337 (or 9316 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 7418936448 is about 86133.2482146122. The cubic root of 7418936448 is about 1950.3559681509.

The spelling of 7418936448 in words is "seven billion, four hundred eighteen million, nine hundred thirty-six thousand, four hundred forty-eight".