47763795277440 has 4096 divisors, whose sum is σ = 210724623360000. Its totient is φ = 10086415073280.

The previous prime is 47763795277421. The next prime is 47763795277459. The reversal of 47763795277440 is 4477259736774.

47763795277440 is a `hidden beast` number, since 4 + 7 + 7 + 63 + 7 + 9 + 52 + 77 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (47763795277421) and next prime (47763795277459).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 293029418799 + ... + 293029418961.

It is an arithmetic number, because the mean of its divisors is an integer number (51446441250).

Almost surely, 2^{47763795277440} is an apocalyptic number.

47763795277440 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 47763795277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105362311680000).

47763795277440 is an abundant number, since it is smaller than the sum of its proper divisors (162960828082560).

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

47763795277440 is a wasteful number, since it uses less digits than its factorization.

47763795277440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1742549760, while the sum is 72.

The spelling of 47763795277440 in words is "forty-seven trillion, seven hundred sixty-three billion, seven hundred ninety-five million, two hundred seventy-seven thousand, four hundred forty".