47868035400 has 336 divisors, whose sum is σ = 167446397700. Its totient is φ = 12720291840.

The previous prime is 47868035389. The next prime is 47868035401. The reversal of 47868035400 is 453086874.

47868035400 is a `hidden beast` number, since 47 + 8 + 68 + 0 + 3 + 540 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 25153325604 + 22714709796 = 158598^2 + 150714^2 .

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

It is not an unprimeable number, because it can be changed into a prime (47868035401) 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, 82959912 + ... + 82960488.

Almost surely, 2^47868035400 is an apocalyptic number.

47868035400 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 47868035400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83723198850).

47868035400 is an abundant number, since it is smaller than the sum of its proper divisors (119578362300).

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

47868035400 is a wasteful number, since it uses less digits than its factorization.

47868035400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 47868035400 in words is "forty-seven billion, eight hundred sixty-eight million, thirty-five thousand, four hundred".