47380718449680 has 640 divisors, whose sum is σ = 185538759045120. Its totient is φ = 9716236615680.

The previous prime is 47380718449667. The next prime is 47380718449693. The reversal of 47380718449680 is 8694481708374.

It is an interprime number because it is at equal distance from previous prime (47380718449667) and next prime (47380718449693).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 486511231 + ... + 486608609.

It is an arithmetic number, because the mean of its divisors is an integer number (289904311008).

Almost surely, 2^{47380718449680} is an apocalyptic number.

47380718449680 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 47380718449680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92769379522560).

47380718449680 is an abundant number, since it is smaller than the sum of its proper divisors (138158040595440).

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

47380718449680 is a wasteful number, since it uses less digits than its factorization.

47380718449680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97759 (or 97753 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 69.

The spelling of 47380718449680 in words is "forty-seven trillion, three hundred eighty billion, seven hundred eighteen million, four hundred forty-nine thousand, six hundred eighty".