47960703450 has 864 divisors, whose sum is σ = 165325043520. Its totient is φ = 10264320000.

The previous prime is 47960703421. The next prime is 47960703487. The reversal of 47960703450 is 5430706974.

47960703450 is a `hidden beast` number, since 4 + 7 + 9 + 607 + 0 + 34 + 5 + 0 = 666.

47960703450 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 (45).

It is a junction number, because it is equal to n+sod(n) for n = 47960703396 and 47960703405.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 474858400 + ... + 474858500.

It is an arithmetic number, because the mean of its divisors is an integer number (191348430).

Almost surely, 2^47960703450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47960703450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82662521760).

47960703450 is an abundant number, since it is smaller than the sum of its proper divisors (117364340070).

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

47960703450 is a wasteful number, since it uses less digits than its factorization.

47960703450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 47960703450 in words is "forty-seven billion, nine hundred sixty million, seven hundred three thousand, four hundred fifty".