47798190720 has 960 divisors, whose sum is σ = 205307688960. Its totient is φ = 10555453440.

The previous prime is 47798190701. The next prime is 47798190721. The reversal of 47798190720 is 2709189774.

47798190720 is a `hidden beast` number, since 477 + 9 + 81 + 90 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×47798190720³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (47798190721) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 78744657 + ... + 78745263.

It is an arithmetic number, because the mean of its divisors is an integer number (213862176).

Almost surely, 2^47798190720 is an apocalyptic number.

47798190720 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 47798190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102653844480).

47798190720 is an abundant number, since it is smaller than the sum of its proper divisors (157509498240).

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

47798190720 is a wasteful number, since it uses less digits than its factorization.

47798190720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 47798190720 in words is "forty-seven billion, seven hundred ninety-eight million, one hundred ninety thousand, seven hundred twenty".