7432483968 has 256 divisors, whose sum is σ = 26999481600. Its totient is φ = 1960132608.

The previous prime is 7432483931. The next prime is 7432483987. The reversal of 7432483968 is 8693842347.

7432483968 is a `hidden beast` number, since 7 + 4 + 3 + 248 + 396 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 302680 + ... + 326312.

It is an arithmetic number, because the mean of its divisors is an integer number (105466725).

Almost surely, 2^7432483968 is an apocalyptic number.

7432483968 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 7432483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499740800).

7432483968 is an abundant number, since it is smaller than the sum of its proper divisors (19566997632).

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

7432483968 is a wasteful number, since it uses less digits than its factorization.

7432483968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23676 (or 23658 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 7432483968 is about 86211.8551476536. The cubic root of 7432483968 is about 1951.5424104322.

The spelling of 7432483968 in words is "seven billion, four hundred thirty-two million, four hundred eighty-three thousand, nine hundred sixty-eight".