7410882816 has 432 divisors, whose sum is σ = 23944560640. Its totient is φ = 2194698240.

The previous prime is 7410882757. The next prime is 7410882821. The reversal of 7410882816 is 6182880147.

It is a super-2 number, since 2×7410882816² (a number of 21 digits) contains 22 as substring.

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, 58353345 + ... + 58353471.

Almost surely, 2^7410882816 is an apocalyptic number.

7410882816 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7410882816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11972280320).

7410882816 is an abundant number, since it is smaller than the sum of its proper divisors (16533677824).

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

7410882816 is a wasteful number, since it uses less digits than its factorization.

7410882816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 7410882816 is about 86086.4845141210. The cubic root of 7410882816 is about 1949.6499758333.

The spelling of 7410882816 in words is "seven billion, four hundred ten million, eight hundred eighty-two thousand, eight hundred sixteen".