474761619360 has 1728 divisors, whose sum is σ = 2103988618368. Its totient is φ = 100440539136.

The previous prime is 474761619349. The next prime is 474761619361. The reversal of 474761619360 is 63916167474.

474761619360 is a `hidden beast` number, since 4 + 7 + 4 + 7 + 616 + 19 + 3 + 6 + 0 = 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 = 474761619297 and 474761619306.

It is not an unprimeable number, because it can be changed into a prime (474761619361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3465413212 + ... + 3465413348.

It is an arithmetic number, because the mean of its divisors is an integer number (1217586006).

Almost surely, 2^474761619360 is an apocalyptic number.

474761619360 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 474761619360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051994309184).

474761619360 is an abundant number, since it is smaller than the sum of its proper divisors (1629226999008).

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

474761619360 is a wasteful number, since it uses less digits than its factorization.

474761619360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 474761619360 in words is "four hundred seventy-four billion, seven hundred sixty-one million, six hundred nineteen thousand, three hundred sixty".