47362548880640 has 1728 divisors, whose sum is σ = 151235111301120. Its totient is φ = 13847799398400.

The previous prime is 47362548880541. The next prime is 47362548880643. The reversal of 47362548880640 is 4608884526374.

It is a super-2 number, since 2×47362548880640² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47362548880643) 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, 154275403367 + ... + 154275403673.

It is an arithmetic number, because the mean of its divisors is an integer number (87520319040).

Almost surely, 2^{47362548880640} is an apocalyptic number.

47362548880640 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 47362548880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75617555650560).

47362548880640 is an abundant number, since it is smaller than the sum of its proper divisors (103872562420480).

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

47362548880640 is a wasteful number, since it uses less digits than its factorization.

47362548880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 65.

The spelling of 47362548880640 in words is "forty-seven trillion, three hundred sixty-two billion, five hundred forty-eight million, eight hundred eighty thousand, six hundred forty".