7632423456 has 288 divisors, whose sum is σ = 24102332352. Its totient is φ = 2107607040.

The previous prime is 7632423451. The next prime is 7632423473. The reversal of 7632423456 is 6543242367.

It is a super-3 number, since 3×7632423456³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (7632423451) 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, 19225050 + ... + 19225446.

It is an arithmetic number, because the mean of its divisors is an integer number (83688654).

Almost surely, 2^7632423456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7632423456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12051166176).

7632423456 is an abundant number, since it is smaller than the sum of its proper divisors (16469908896).

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

7632423456 is a wasteful number, since it uses less digits than its factorization.

7632423456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 537 counting only the distinct ones).

The product of its digits is 725760, while the sum is 42.

The square root of 7632423456 is about 87363.7422275397. The cubic root of 7632423456 is about 1968.8871256587.

The spelling of 7632423456 in words is "seven billion, six hundred thirty-two million, four hundred twenty-three thousand, four hundred fifty-six".