47973655440 has 240 divisors, whose sum is σ = 163317368448. Its totient is φ = 12618891264.

The previous prime is 47973655439. The next prime is 47973655441. The reversal of 47973655440 is 4455637974.

47973655440 is a `hidden beast` number, since 4 + 7 + 97 + 3 + 6 + 5 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47973655439) and next prime (47973655441).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (47973655441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19798069 + ... + 19800491.

Almost surely, 2^47973655440 is an apocalyptic number.

47973655440 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 47973655440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81658684224).

47973655440 is an abundant number, since it is smaller than the sum of its proper divisors (115343713008).

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

47973655440 is a wasteful number, since it uses less digits than its factorization.

47973655440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 47973655440 in words is "forty-seven billion, nine hundred seventy-three million, six hundred fifty-five thousand, four hundred forty".