7458463152 has 280 divisors, whose sum is σ = 24955236096. Its totient is φ = 2114356608.

The previous prime is 7458463139. The next prime is 7458463153. The reversal of 7458463152 is 2513648547.

7458463152 is a `hidden beast` number, since 7 + 4 + 5 + 8 + 4 + 631 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7458463098 and 7458463107.

It is not an unprimeable number, because it can be changed into a prime (7458463153) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13634943 + ... + 13635489.

Almost surely, 2^7458463152 is an apocalyptic number.

7458463152 is a gapful number since it is divisible by the number (72) 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 7458463152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12477618048).

7458463152 is an abundant number, since it is smaller than the sum of its proper divisors (17496772944).

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

7458463152 is a wasteful number, since it uses less digits than its factorization.

7458463152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 726 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 7458463152 is about 86362.3943160448. The cubic root of 7458463152 is about 1953.8135454076.

The spelling of 7458463152 in words is "seven billion, four hundred fifty-eight million, four hundred sixty-three thousand, one hundred fifty-two".