47190430560 has 768 divisors, whose sum is σ = 195913396224. Its totient is φ = 9264955392.

The previous prime is 47190430559. The next prime is 47190430607. The reversal of 47190430560 is 6503409174.

47190430560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76483372 + ... + 76483988.

It is an arithmetic number, because the mean of its divisors is an integer number (255095568).

Almost surely, 2^47190430560 is an apocalyptic number.

47190430560 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 47190430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97956698112).

47190430560 is an abundant number, since it is smaller than the sum of its proper divisors (148722965664).

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

47190430560 is a wasteful number, since it uses less digits than its factorization.

47190430560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 47190430560 in words is "forty-seven billion, one hundred ninety million, four hundred thirty thousand, five hundred sixty".