47714781600 has 216 divisors, whose sum is σ = 168502426092. Its totient is φ = 12705177600.

The previous prime is 47714781577. The next prime is 47714781617. The reversal of 47714781600 is 618741774.

47714781600 is a `hidden beast` number, since 477 + 1 + 47 + 81 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 44610508944 + 3104272656 = 211212^2 + 55716^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5273080 + ... + 5282120.

Almost surely, 2^47714781600 is an apocalyptic number.

47714781600 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 47714781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84251213046).

47714781600 is an abundant number, since it is smaller than the sum of its proper divisors (120787644492).

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

47714781600 is a wasteful number, since it uses less digits than its factorization.

47714781600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9800 (or 9784 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 47714781600 in words is "forty-seven billion, seven hundred fourteen million, seven hundred eighty-one thousand, six hundred".