7432471872 has 336 divisors, whose sum is σ = 25650992640. Its totient is φ = 2089815552.

The previous prime is 7432471807. The next prime is 7432471933. The reversal of 7432471872 is 2781742347.

7432471872 is a `hidden beast` number, since 74 + 32 + 471 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7293379 + ... + 7294397.

It is an arithmetic number, because the mean of its divisors is an integer number (76342240).

Almost surely, 2^7432471872 is an apocalyptic number.

7432471872 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 7432471872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825496320).

7432471872 is an abundant number, since it is smaller than the sum of its proper divisors (18218520768).

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

7432471872 is a wasteful number, since it uses less digits than its factorization.

7432471872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1098 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 7432471872 is about 86211.7849948602. The cubic root of 7432471872 is about 1951.5413517521.

The spelling of 7432471872 in words is "seven billion, four hundred thirty-two million, four hundred seventy-one thousand, eight hundred seventy-two".