7563942432 has 96 divisors (see below), whose sum is σ = 22078647360. Its totient is φ = 2519354880.

The previous prime is 7563942409. The next prime is 7563942461. The reversal of 7563942432 is 2342493657.

7563942432 is a `hidden beast` number, since 7 + 5 + 639 + 4 + 2 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7563942432² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1486132 + ... + 1491212.

It is an arithmetic number, because the mean of its divisors is an integer number (229985910).

Almost surely, 2^7563942432 is an apocalyptic number.

7563942432 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 7563942432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11039323680).

7563942432 is an abundant number, since it is smaller than the sum of its proper divisors (14514704928).

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

7563942432 is a wasteful number, since it uses less digits than its factorization.

7563942432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823 (or 6809 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 7563942432 is about 86970.9286600988. The cubic root of 7563942432 is about 1962.9808896967.

The spelling of 7563942432 in words is "seven billion, five hundred sixty-three million, nine hundred forty-two thousand, four hundred thirty-two".