7442414760 has 384 divisors, whose sum is σ = 26372304000. Its totient is φ = 1673717760.

The previous prime is 7442414737. The next prime is 7442414767. The reversal of 7442414760 is 674142447.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7442414767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14621386 + ... + 14621894.

It is an arithmetic number, because the mean of its divisors is an integer number (68677875).

Almost surely, 2^7442414760 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 7442414760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13186152000).

7442414760 is an abundant number, since it is smaller than the sum of its proper divisors (18929889240).

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

7442414760 is a wasteful number, since it uses less digits than its factorization.

7442414760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The square root of 7442414760 is about 86269.4312024833. The cubic root of 7442414760 is about 1952.4111974424.

The spelling of 7442414760 in words is "seven billion, four hundred forty-two million, four hundred fourteen thousand, seven hundred sixty".