47955835736640 has 2688 divisors, whose sum is σ = 210704094720000. Its totient is φ = 10158206091264.

The previous prime is 47955835736617. The next prime is 47955835736723. The reversal of 47955835736640 is 4663753855974.

It is a happy number.

47955835736640 is a `hidden beast` number, since 4 + 7 + 9 + 5 + 5 + 8 + 3 + 573 + 6 + 6 + 40 = 666.

It is a super-3 number, since 3×47955835736640³ (a number of 42 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19989926161 + ... + 19989928559.

It is an arithmetic number, because the mean of its divisors is an integer number (78386940000).

Almost surely, 2^{47955835736640} is an apocalyptic number.

47955835736640 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 47955835736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105352047360000).

47955835736640 is an abundant number, since it is smaller than the sum of its proper divisors (162748258983360).

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

47955835736640 is a wasteful number, since it uses less digits than its factorization.

47955835736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 2286144000, while the sum is 72.

The spelling of 47955835736640 in words is "forty-seven trillion, nine hundred fifty-five billion, eight hundred thirty-five million, seven hundred thirty-six thousand, six hundred forty".