7441477638 has 64 divisors (see below), whose sum is σ = 17763148800. Its totient is φ = 2032031232.

The previous prime is 7441477613. The next prime is 7441477639. The reversal of 7441477638 is 8367741447.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7441477639) 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 31 ways as a sum of consecutive naturals, for example, 1598338 + ... + 1602986.

It is an arithmetic number, because the mean of its divisors is an integer number (277549200).

Almost surely, 2^7441477638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7441477638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8881574400).

7441477638 is an abundant number, since it is smaller than the sum of its proper divisors (10321671162).

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

7441477638 is a wasteful number, since it uses less digits than its factorization.

7441477638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6341.

The product of its digits is 3161088, while the sum is 51.

The square root of 7441477638 is about 86263.9996638227. Note that the first 3 decimals coincide. The cubic root of 7441477638 is about 1952.3292471460.

The spelling of 7441477638 in words is "seven billion, four hundred forty-one million, four hundred seventy-seven thousand, six hundred thirty-eight".