47259168768 has 1092 divisors, whose sum is σ = 183710696760. Its totient is φ = 12039487488.

The previous prime is 47259168767. The next prime is 47259168769. The reversal of 47259168768 is 86786195274.

47259168768 is a `hidden beast` number, since 472 + 5 + 91 + 6 + 8 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (47259168767) and next prime (47259168769).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (40642560) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47259168767) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2487324663 + ... + 2487324681.

Almost surely, 2^47259168768 is an apocalyptic number.

47259168768 is a gapful number since it is divisible by the number (48) 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 47259168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91855348380).

47259168768 is an abundant number, since it is smaller than the sum of its proper divisors (136451527992).

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

47259168768 is an equidigital number, since it uses as much as digits as its factorization.

47259168768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 48 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 47259168768 in words is "forty-seven billion, two hundred fifty-nine million, one hundred sixty-eight thousand, seven hundred sixty-eight".