78247442583432 has 160 divisors (see below), whose sum is σ = 224652732353280. Its totient is φ = 25430234376960.

The previous prime is 78247442583301. The next prime is 78247442583433. The reversal of 78247442583432 is 23438524474287.

78247442583432 is a `hidden beast` number, since 7 + 8 + 2 + 4 + 7 + 4 + 4 + 2 + 583 + 43 + 2 = 666.

It is a super-2 number, since 2×78247442583432² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 78247442583432.

It is not an unprimeable number, because it can be changed into a prime (78247442583433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41126893 + ... + 42987395.

It is an arithmetic number, because the mean of its divisors is an integer number (1404079577208).

Almost surely, 2^{78247442583432} is an apocalyptic number.

78247442583432 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 78247442583432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112326366176640).

78247442583432 is an abundant number, since it is smaller than the sum of its proper divisors (146405289769848).

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

78247442583432 is a wasteful number, since it uses less digits than its factorization.

78247442583432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862145 (or 1862132 counting only the distinct ones).

The product of its digits is 289013760, while the sum is 63.

The spelling of 78247442583432 in words is "seventy-eight trillion, two hundred forty-seven billion, four hundred forty-two million, five hundred eighty-three thousand, four hundred thirty-two".