47691210240 has 640 divisors, whose sum is σ = 178895692800. Its totient is φ = 12019138560.

The previous prime is 47691210227. The next prime is 47691210257. The reversal of 47691210240 is 4201219674.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 47691210195 and 47691210204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208258446 + ... + 208258674.

It is an arithmetic number, because the mean of its divisors is an integer number (279524520).

Almost surely, 2^47691210240 is an apocalyptic number.

47691210240 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 47691210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89447846400).

47691210240 is an abundant number, since it is smaller than the sum of its proper divisors (131204482560).

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

47691210240 is a wasteful number, since it uses less digits than its factorization.

47691210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 47691210240 in words is "forty-seven billion, six hundred ninety-one million, two hundred ten thousand, two hundred forty".