47995050906720 has 864 divisors, whose sum is σ = 176443256362464. Its totient is φ = 11874362572800.

The previous prime is 47995050906713. The next prime is 47995050906787. The reversal of 47995050906720 is 2760905059974.

47995050906720 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 50 + 509 + 0 + 6 + 72 + 0 = 666.

It is a super-3 number, since 3×47995050906720³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19038099060 + ... + 19038101580.

It is an arithmetic number, because the mean of its divisors is an integer number (204216731901).

Almost surely, 2^{47995050906720} is an apocalyptic number.

47995050906720 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 47995050906720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88221628181232).

47995050906720 is an abundant number, since it is smaller than the sum of its proper divisors (128448205455744).

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

47995050906720 is a wasteful number, since it uses less digits than its factorization.

47995050906720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3324 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 47995050906720 in words is "forty-seven trillion, nine hundred ninety-five billion, fifty million, nine hundred six thousand, seven hundred twenty".