47414472768 has 448 divisors, whose sum is σ = 157879572480. Its totient is φ = 13844514816.

The previous prime is 47414472739. The next prime is 47414472797. The reversal of 47414472768 is 86727441474.

47414472768 is a `hidden beast` number, since 474 + 1 + 44 + 72 + 7 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (47414472739) and next prime (47414472797).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84217255 + ... + 84217817.

It is an arithmetic number, because the mean of its divisors is an integer number (352409760).

Almost surely, 2^47414472768 is an apocalyptic number.

47414472768 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 47414472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78939786240).

47414472768 is an abundant number, since it is smaller than the sum of its proper divisors (110465099712).

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

47414472768 is a wasteful number, since it uses less digits than its factorization.

47414472768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 767 counting only the distinct ones).

The product of its digits is 8429568, while the sum is 54.

The spelling of 47414472768 in words is "forty-seven billion, four hundred fourteen million, four hundred seventy-two thousand, seven hundred sixty-eight".