7663447314432 has 2496 divisors, whose sum is σ = 30872809497600. Its totient is φ = 1878160048128.

The previous prime is 7663447314427. The next prime is 7663447314469. The reversal of 7663447314432 is 2344137443667.

7663447314432 is a `hidden beast` number, since 7 + 66 + 344 + 73 + 144 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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 and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (24385536) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97005662169 + ... + 97005662247.

Almost surely, 2^{7663447314432} is an apocalyptic number.

7663447314432 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 7663447314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436404748800).

7663447314432 is an abundant number, since it is smaller than the sum of its proper divisors (23209362183168).

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

7663447314432 is an equidigital number, since it uses as much as digits as its factorization.

7663447314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 121 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 54.

The spelling of 7663447314432 in words is "seven trillion, six hundred sixty-three billion, four hundred forty-seven million, three hundred fourteen thousand, four hundred thirty-two".