47991200640 has 128 divisors (see below), whose sum is σ = 153035961120. Its totient is φ = 12792299520.

The previous prime is 47991200639. The next prime is 47991200641. The reversal of 47991200640 is 4600219974.

It is an interprime number because it is at equal distance from previous prime (47991200639) and next prime (47991200641).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 47991200592 and 47991200601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47991200641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7094860 + ... + 7101620.

Almost surely, 2^47991200640 is an apocalyptic number.

47991200640 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 47991200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76517980560).

47991200640 is an abundant number, since it is smaller than the sum of its proper divisors (105044760480).

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

47991200640 is a wasteful number, since it uses less digits than its factorization.

47991200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10480 (or 10468 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 47991200640 in words is "forty-seven billion, nine hundred ninety-one million, two hundred thousand, six hundred forty".