7648813458 has 96 divisors (see below), whose sum is σ = 20097971712. Its totient is φ = 2070489600.

The previous prime is 7648813453. The next prime is 7648813517. The reversal of 7648813458 is 8543188467.

7648813458 is a `hidden beast` number, since 76 + 48 + 81 + 3 + 458 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7648813453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31866 + ... + 127722.

It is an arithmetic number, because the mean of its divisors is an integer number (209353872).

Almost surely, 2^7648813458 is an apocalyptic number.

7648813458 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7648813458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10048985856).

7648813458 is an abundant number, since it is smaller than the sum of its proper divisors (12449158254).

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

7648813458 is a wasteful number, since it uses less digits than its factorization.

7648813458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95920 (or 95917 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 7648813458 is about 87457.4951505015. The cubic root of 7648813458 is about 1970.2954591336.

The spelling of 7648813458 in words is "seven billion, six hundred forty-eight million, eight hundred thirteen thousand, four hundred fifty-eight".