47627244000 has 768 divisors, whose sum is σ = 201076162560. Its totient is φ = 10724659200.

The previous prime is 47627243987. The next prime is 47627244001. The reversal of 47627244000 is 44272674.

It is a happy number.

47627244000 is a `hidden beast` number, since 4 + 7 + 627 + 24 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47627244001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55187569 + ... + 55188431.

It is an arithmetic number, because the mean of its divisors is an integer number (261817920).

Almost surely, 2^47627244000 is an apocalyptic number.

47627244000 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 47627244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100538081280).

47627244000 is an abundant number, since it is smaller than the sum of its proper divisors (153448918560).

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

47627244000 is a wasteful number, since it uses less digits than its factorization.

47627244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 47627244000 in words is "forty-seven billion, six hundred twenty-seven million, two hundred forty-four thousand".