47416767840 has 576 divisors, whose sum is σ = 189794404800. Its totient is φ = 10673897472.

The previous prime is 47416767803. The next prime is 47416767857. The reversal of 47416767840 is 4876761474.

47416767840 is a `hidden beast` number, since 474 + 1 + 67 + 6 + 78 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10312422 + ... + 10317018.

It is an arithmetic number, because the mean of its divisors is an integer number (329504175).

Almost surely, 2^47416767840 is an apocalyptic number.

47416767840 is a gapful number since it is divisible by the number (40) 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 47416767840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94897202400).

47416767840 is an abundant number, since it is smaller than the sum of its proper divisors (142377636960).

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

47416767840 is a wasteful number, since it uses less digits than its factorization.

47416767840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4679 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 47416767840 in words is "forty-seven billion, four hundred sixteen million, seven hundred sixty-seven thousand, eight hundred forty".