47240799016320 has 768 divisors, whose sum is σ = 202843442954880. Its totient is φ = 9864523284480.

The previous prime is 47240799016319. The next prime is 47240799016321. The reversal of 47240799016320 is 2361099704274.

47240799016320 is a `hidden beast` number, since 4 + 7 + 240 + 79 + 9 + 0 + 1 + 6 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (47240799016319) and next prime (47240799016321).

It is a super-3 number, since 3×47240799016320³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47240799016321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50378950 + ... + 51308090.

Almost surely, 2^{47240799016320} is an apocalyptic number.

47240799016320 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 47240799016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101421721477440).

47240799016320 is an abundant number, since it is smaller than the sum of its proper divisors (155602643938560).

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

47240799016320 is a wasteful number, since it uses less digits than its factorization.

47240799016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929283 (or 929268 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 47240799016320 in words is "forty-seven trillion, two hundred forty billion, seven hundred ninety-nine million, sixteen thousand, three hundred twenty".