7481413632 has 208 divisors, whose sum is σ = 24873380352. Its totient is φ = 1942978560.

The previous prime is 7481413627. The next prime is 7481413661. The reversal of 7481413632 is 2363141847.

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 15 ways as a sum of consecutive naturals, for example, 942223 + ... + 950129.

Almost surely, 2^7481413632 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 7481413632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12436690176).

7481413632 is an abundant number, since it is smaller than the sum of its proper divisors (17391966720).

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

7481413632 is a wasteful number, since it uses less digits than its factorization.

7481413632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7952 (or 7930 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 7481413632 is about 86495.1653677823. The cubic root of 7481413632 is about 1955.8155236879.

The spelling of 7481413632 in words is "seven billion, four hundred eighty-one million, four hundred thirteen thousand, six hundred thirty-two".