46830389760 has 1200 divisors, whose sum is σ = 213362281440. Its totient is φ = 9707765760.

The previous prime is 46830389743. The next prime is 46830389761. The reversal of 46830389760 is 6798303864.

46830389760 is a `hidden beast` number, since 468 + 3 + 0 + 38 + 97 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 46830389697 and 46830389706.

It is not an unprimeable number, because it can be changed into a prime (46830389761) 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, 111766831 + ... + 111767249.

Almost surely, 2^46830389760 is an apocalyptic number.

46830389760 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 46830389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106681140720).

46830389760 is an abundant number, since it is smaller than the sum of its proper divisors (166531891680).

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

46830389760 is a wasteful number, since it uses less digits than its factorization.

46830389760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 46830389760 in words is "forty-six billion, eight hundred thirty million, three hundred eighty-nine thousand, seven hundred sixty".