7463527632 has 120 divisors (see below), whose sum is σ = 23160223008. Its totient is φ = 2224569600.

The previous prime is 7463527559. The next prime is 7463527633. The reversal of 7463527632 is 2367253647.

7463527632 is a `hidden beast` number, since 7 + 4 + 6 + 3 + 5 + 2 + 7 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7463527633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58003 + ... + 135245.

Almost surely, 2^7463527632 is an apocalyptic number.

7463527632 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 7463527632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11580111504).

7463527632 is an abundant number, since it is smaller than the sum of its proper divisors (15696695376).

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

7463527632 is a wasteful number, since it uses less digits than its factorization.

7463527632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77329 (or 77320 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The square root of 7463527632 is about 86391.7104356662. The cubic root of 7463527632 is about 1954.2556745078.

It can be divided in two parts, 7463 and 527632, that added together give a triangular number (535095 = T₁₀₃₄).

The spelling of 7463527632 in words is "seven billion, four hundred sixty-three million, five hundred twenty-seven thousand, six hundred thirty-two".