47536450560 has 440 divisors, whose sum is σ = 172520930736. Its totient is φ = 12514590720.

The previous prime is 47536450541. The next prime is 47536450561. The reversal of 47536450560 is 6505463574.

47536450560 is a `hidden beast` number, since 4 + 7 + 5 + 36 + 4 + 50 + 560 = 666.

It is a super-4 number, since 4×47536450560⁴ (a number of 44 digits) contains 4444 as substring.

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 (47536450561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34421070 + ... + 34422450.

Almost surely, 2^47536450560 is an apocalyptic number.

47536450560 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 47536450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86260465368).

47536450560 is an abundant number, since it is smaller than the sum of its proper divisors (124984480176).

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

47536450560 is a wasteful number, since it uses less digits than its factorization.

47536450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 47536450560 in words is "forty-seven billion, five hundred thirty-six million, four hundred fifty thousand, five hundred sixty".