7461799488 has 224 divisors, whose sum is σ = 25772181120. Its totient is φ = 2087147520.

The previous prime is 7461799487. The next prime is 7461799507. The reversal of 7461799488 is 8849971647.

7461799488 is a `hidden beast` number, since 7 + 4 + 61 + 7 + 99 + 488 = 666.

It is not an unprimeable number, because it can be changed into a prime (7461799487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232006 + ... + 262202.

It is an arithmetic number, because the mean of its divisors is an integer number (115054380).

Almost surely, 2^7461799488 is an apocalyptic number.

7461799488 is a gapful number since it is divisible by the number (78) 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 7461799488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12886090560).

7461799488 is an abundant number, since it is smaller than the sum of its proper divisors (18310381632).

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

7461799488 is a wasteful number, since it uses less digits than its factorization.

7461799488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30242 (or 30226 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The square root of 7461799488 is about 86381.7080636867. The cubic root of 7461799488 is about 1954.1048300243.

The spelling of 7461799488 in words is "seven billion, four hundred sixty-one million, seven hundred ninety-nine thousand, four hundred eighty-eight".