47575180074240 has 1728 divisors, whose sum is σ = 208557993885696. Its totient is φ = 9745630691328.

The previous prime is 47575180074223. The next prime is 47575180074241. The reversal of 47575180074240 is 4247008157574.

47575180074240 is a `hidden beast` number, since 4 + 7 + 57 + 518 + 0 + 0 + 74 + 2 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47575180074241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6257418279 + ... + 6257425881.

Almost surely, 2^{47575180074240} is an apocalyptic number.

47575180074240 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 47575180074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104278996942848).

47575180074240 is an abundant number, since it is smaller than the sum of its proper divisors (160982813811456).

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

47575180074240 is a wasteful number, since it uses less digits than its factorization.

47575180074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7824 (or 7807 counting only the distinct ones).

The product of its (nonzero) digits is 8780800, while the sum is 54.

The spelling of 47575180074240 in words is "forty-seven trillion, five hundred seventy-five billion, one hundred eighty million, seventy-four thousand, two hundred forty".