7418848896 has 192 divisors, whose sum is σ = 21808032480. Its totient is φ = 2420250624.

The previous prime is 7418848883. The next prime is 7418848897. The reversal of 7418848896 is 6988488147.

7418848896 is a `hidden beast` number, since 74 + 1 + 88 + 488 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7418848897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21379795 + ... + 21380141.

Almost surely, 2^7418848896 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 7418848896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10904016240).

7418848896 is an abundant number, since it is smaller than the sum of its proper divisors (14389183584).

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

7418848896 is a wasteful number, since it uses less digits than its factorization.

7418848896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 696 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 63.

The square root of 7418848896 is about 86132.7399773164. The cubic root of 7418848896 is about 1950.3482959714.

The spelling of 7418848896 in words is "seven billion, four hundred eighteen million, eight hundred forty-eight thousand, eight hundred ninety-six".