47506636800 has 810 divisors, whose sum is σ = 198710359848. Its totient is φ = 10817372160.

The previous prime is 47506636789. The next prime is 47506636811. The reversal of 47506636800 is 863660574.

47506636800 is a `hidden beast` number, since 4 + 7 + 5 + 0 + 6 + 636 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47506636789) and next prime (47506636811).

It is a super-3 number, since 3×47506636800³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 180633469 + ... + 180633731.

Almost surely, 2^47506636800 is an apocalyptic number.

47506636800 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 47506636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99355179924).

47506636800 is an abundant number, since it is smaller than the sum of its proper divisors (151203723048).

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

47506636800 is a wasteful number, since it uses less digits than its factorization.

47506636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 47506636800 in words is "forty-seven billion, five hundred six million, six hundred thirty-six thousand, eight hundred".